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Finding the Fourth Proportional to 1,902.72, 2,854.31 and 732.45

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Solution

The fourth proportional to 1,902.72, 2,854.31 and 732.45 is: 1,098.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.72 : 2,854.31 = 732.45 : x
  2. Step 2: Convert to fraction form
    1,902.72/2,854.31 = 732.45/x
  3. Step 3: Cross multiply
    1,902.72x = 2,854.31 × 732.45
  4. Step 4: Simplify right side
    1,902.72x = 2,090,639.36
  5. Step 5: Solve for x
    x = 2,090,639.36/1,902.72
  6. Step 6: Final answer
    x = 1,098.76

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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.