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Finding the Fourth Proportional to 3,193.42, 4,407.03 and 1,934.71

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Solution

The fourth proportional to 3,193.42, 4,407.03 and 1,934.71 is: 2,669.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.42 : 4,407.03 = 1,934.71 : x
  2. Step 2: Convert to fraction form
    3,193.42/4,407.03 = 1,934.71/x
  3. Step 3: Cross multiply
    3,193.42x = 4,407.03 × 1,934.71
  4. Step 4: Simplify right side
    3,193.42x = 8,526,325.01
  5. Step 5: Solve for x
    x = 8,526,325.01/3,193.42
  6. Step 6: Final answer
    x = 2,669.97

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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.