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Finding the Fourth Proportional to 2,324.80, 3,488.42 and 1,027.16

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Solution

The fourth proportional to 2,324.80, 3,488.42 and 1,027.16 is: 1,541.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.80 : 3,488.42 = 1,027.16 : x
  2. Step 2: Convert to fraction form
    2,324.80/3,488.42 = 1,027.16/x
  3. Step 3: Cross multiply
    2,324.80x = 3,488.42 × 1,027.16
  4. Step 4: Simplify right side
    2,324.80x = 3,583,165.49
  5. Step 5: Solve for x
    x = 3,583,165.49/2,324.80
  6. Step 6: Final answer
    x = 1,541.28

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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.