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Finding the Fourth Proportional to 2,362.61, 3,542.37 and 1,129.98

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Solution

The fourth proportional to 2,362.61, 3,542.37 and 1,129.98 is: 1,694.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.61 : 3,542.37 = 1,129.98 : x
  2. Step 2: Convert to fraction form
    2,362.61/3,542.37 = 1,129.98/x
  3. Step 3: Cross multiply
    2,362.61x = 3,542.37 × 1,129.98
  4. Step 4: Simplify right side
    2,362.61x = 4,002,807.25
  5. Step 5: Solve for x
    x = 4,002,807.25/2,362.61
  6. Step 6: Final answer
    x = 1,694.23

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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.