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Finding the Fourth Proportional to 3,193.56, 4,407.18 and 1,796.76

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Solution

The fourth proportional to 3,193.56, 4,407.18 and 1,796.76 is: 2,479.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.56 : 4,407.18 = 1,796.76 : x
  2. Step 2: Convert to fraction form
    3,193.56/4,407.18 = 1,796.76/x
  3. Step 3: Cross multiply
    3,193.56x = 4,407.18 × 1,796.76
  4. Step 4: Simplify right side
    3,193.56x = 7,918,644.74
  5. Step 5: Solve for x
    x = 7,918,644.74/3,193.56
  6. Step 6: Final answer
    x = 2,479.57

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.