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Finding the Fourth Proportional to 2,332.57, 3,499.26 and 1,237.90

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Solution

The fourth proportional to 2,332.57, 3,499.26 and 1,237.90 is: 1,857.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.57 : 3,499.26 = 1,237.90 : x
  2. Step 2: Convert to fraction form
    2,332.57/3,499.26 = 1,237.90/x
  3. Step 3: Cross multiply
    2,332.57x = 3,499.26 × 1,237.90
  4. Step 4: Simplify right side
    2,332.57x = 4,331,733.95
  5. Step 5: Solve for x
    x = 4,331,733.95/2,332.57
  6. Step 6: Final answer
    x = 1,857.06

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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.