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Finding the Fourth Proportional to 2,508.91, 3,762.28 and 1,338.65

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Solution

The fourth proportional to 2,508.91, 3,762.28 and 1,338.65 is: 2,007.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.91 : 3,762.28 = 1,338.65 : x
  2. Step 2: Convert to fraction form
    2,508.91/3,762.28 = 1,338.65/x
  3. Step 3: Cross multiply
    2,508.91x = 3,762.28 × 1,338.65
  4. Step 4: Simplify right side
    2,508.91x = 5,036,385.20
  5. Step 5: Solve for x
    x = 5,036,385.20/2,508.91
  6. Step 6: Final answer
    x = 2,007.40

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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.