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Finding the Fourth Proportional to 2,414.48, 3,332.77 and 1,419.71

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Solution

The fourth proportional to 2,414.48, 3,332.77 and 1,419.71 is: 1,959.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.48 : 3,332.77 = 1,419.71 : x
  2. Step 2: Convert to fraction form
    2,414.48/3,332.77 = 1,419.71/x
  3. Step 3: Cross multiply
    2,414.48x = 3,332.77 × 1,419.71
  4. Step 4: Simplify right side
    2,414.48x = 4,731,546.68
  5. Step 5: Solve for x
    x = 4,731,546.68/2,414.48
  6. Step 6: Final answer
    x = 1,959.66

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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.