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Finding the Fourth Proportional to 2,796.85, 4,193.65 and 947.49

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Solution

The fourth proportional to 2,796.85, 4,193.65 and 947.49 is: 1,420.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.85 : 4,193.65 = 947.49 : x
  2. Step 2: Convert to fraction form
    2,796.85/4,193.65 = 947.49/x
  3. Step 3: Cross multiply
    2,796.85x = 4,193.65 × 947.49
  4. Step 4: Simplify right side
    2,796.85x = 3,973,441.44
  5. Step 5: Solve for x
    x = 3,973,441.44/2,796.85
  6. Step 6: Final answer
    x = 1,420.68

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.