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Finding the Fourth Proportional to 3,160.53, 4,739.57 and 938.78

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Solution

The fourth proportional to 3,160.53, 4,739.57 and 938.78 is: 1,407.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.53 : 4,739.57 = 938.78 : x
  2. Step 2: Convert to fraction form
    3,160.53/4,739.57 = 938.78/x
  3. Step 3: Cross multiply
    3,160.53x = 4,739.57 × 938.78
  4. Step 4: Simplify right side
    3,160.53x = 4,449,385.13
  5. Step 5: Solve for x
    x = 4,449,385.13/3,160.53
  6. Step 6: Final answer
    x = 1,407.80

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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.