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Finding the Fourth Proportional to 2,508.04, 3,760.84 and 864.16

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Solution

The fourth proportional to 2,508.04, 3,760.84 and 864.16 is: 1,295.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.04 : 3,760.84 = 864.16 : x
  2. Step 2: Convert to fraction form
    2,508.04/3,760.84 = 864.16/x
  3. Step 3: Cross multiply
    2,508.04x = 3,760.84 × 864.16
  4. Step 4: Simplify right side
    2,508.04x = 3,249,967.49
  5. Step 5: Solve for x
    x = 3,249,967.49/2,508.04
  6. Step 6: Final answer
    x = 1,295.82

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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.