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Finding the Fourth Proportional to 2,332.57, 3,488.05 and 1,806.61

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Solution

The fourth proportional to 2,332.57, 3,488.05 and 1,806.61 is: 2,701.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.57 : 3,488.05 = 1,806.61 : x
  2. Step 2: Convert to fraction form
    2,332.57/3,488.05 = 1,806.61/x
  3. Step 3: Cross multiply
    2,332.57x = 3,488.05 × 1,806.61
  4. Step 4: Simplify right side
    2,332.57x = 6,301,546.01
  5. Step 5: Solve for x
    x = 6,301,546.01/2,332.57
  6. Step 6: Final answer
    x = 2,701.55

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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.