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Finding the Fourth Proportional to 2,465.24, 3,697.92 and 616.28

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Solution

The fourth proportional to 2,465.24, 3,697.92 and 616.28 is: 924.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.24 : 3,697.92 = 616.28 : x
  2. Step 2: Convert to fraction form
    2,465.24/3,697.92 = 616.28/x
  3. Step 3: Cross multiply
    2,465.24x = 3,697.92 × 616.28
  4. Step 4: Simplify right side
    2,465.24x = 2,278,935.65
  5. Step 5: Solve for x
    x = 2,278,935.65/2,465.24
  6. Step 6: Final answer
    x = 924.43

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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.