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Finding the Fourth Proportional to 2,427.19, 3,640.80 and 738.61

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Solution

The fourth proportional to 2,427.19, 3,640.80 and 738.61 is: 1,107.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.19 : 3,640.80 = 738.61 : x
  2. Step 2: Convert to fraction form
    2,427.19/3,640.80 = 738.61/x
  3. Step 3: Cross multiply
    2,427.19x = 3,640.80 × 738.61
  4. Step 4: Simplify right side
    2,427.19x = 2,689,117.74
  5. Step 5: Solve for x
    x = 2,689,117.74/2,427.19
  6. Step 6: Final answer
    x = 1,107.91

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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.