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Finding the Fourth Proportional to 2,366.18, 3,544.10 and 1,542.02

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Solution

The fourth proportional to 2,366.18, 3,544.10 and 1,542.02 is: 2,309.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.18 : 3,544.10 = 1,542.02 : x
  2. Step 2: Convert to fraction form
    2,366.18/3,544.10 = 1,542.02/x
  3. Step 3: Cross multiply
    2,366.18x = 3,544.10 × 1,542.02
  4. Step 4: Simplify right side
    2,366.18x = 5,465,073.08
  5. Step 5: Solve for x
    x = 5,465,073.08/2,366.18
  6. Step 6: Final answer
    x = 2,309.66

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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.