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Finding the Fourth Proportional to 2,030.92, 3,045.15 and 732.10

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Solution

The fourth proportional to 2,030.92, 3,045.15 and 732.10 is: 1,097.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.92 : 3,045.15 = 732.10 : x
  2. Step 2: Convert to fraction form
    2,030.92/3,045.15 = 732.10/x
  3. Step 3: Cross multiply
    2,030.92x = 3,045.15 × 732.10
  4. Step 4: Simplify right side
    2,030.92x = 2,229,354.32
  5. Step 5: Solve for x
    x = 2,229,354.32/2,030.92
  6. Step 6: Final answer
    x = 1,097.71

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