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Finding the Fourth Proportional to 3,153.67, 4,352.16 and 1,737.38

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Solution

The fourth proportional to 3,153.67, 4,352.16 and 1,737.38 is: 2,397.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.67 : 4,352.16 = 1,737.38 : x
  2. Step 2: Convert to fraction form
    3,153.67/4,352.16 = 1,737.38/x
  3. Step 3: Cross multiply
    3,153.67x = 4,352.16 × 1,737.38
  4. Step 4: Simplify right side
    3,153.67x = 7,561,355.74
  5. Step 5: Solve for x
    x = 7,561,355.74/3,153.67
  6. Step 6: Final answer
    x = 2,397.64

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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.