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Finding the Fourth Proportional to 2,752.32, 4,129.85 and 2,389.66

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Solution

The fourth proportional to 2,752.32, 4,129.85 and 2,389.66 is: 3,585.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.32 : 4,129.85 = 2,389.66 : x
  2. Step 2: Convert to fraction form
    2,752.32/4,129.85 = 2,389.66/x
  3. Step 3: Cross multiply
    2,752.32x = 4,129.85 × 2,389.66
  4. Step 4: Simplify right side
    2,752.32x = 9,868,937.35
  5. Step 5: Solve for x
    x = 9,868,937.35/2,752.32
  6. Step 6: Final answer
    x = 3,585.68

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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.