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Finding the Fourth Proportional to 2,429.74, 3,352.80 and 1,381.78

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Solution

The fourth proportional to 2,429.74, 3,352.80 and 1,381.78 is: 1,906.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.74 : 3,352.80 = 1,381.78 : x
  2. Step 2: Convert to fraction form
    2,429.74/3,352.80 = 1,381.78/x
  3. Step 3: Cross multiply
    2,429.74x = 3,352.80 × 1,381.78
  4. Step 4: Simplify right side
    2,429.74x = 4,632,831.98
  5. Step 5: Solve for x
    x = 4,632,831.98/2,429.74
  6. Step 6: Final answer
    x = 1,906.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.