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Finding the Fourth Proportional to 2,476.88, 3,716.80 and 1,438.92

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Solution

The fourth proportional to 2,476.88, 3,716.80 and 1,438.92 is: 2,159.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.88 : 3,716.80 = 1,438.92 : x
  2. Step 2: Convert to fraction form
    2,476.88/3,716.80 = 1,438.92/x
  3. Step 3: Cross multiply
    2,476.88x = 3,716.80 × 1,438.92
  4. Step 4: Simplify right side
    2,476.88x = 5,348,177.86
  5. Step 5: Solve for x
    x = 5,348,177.86/2,476.88
  6. Step 6: Final answer
    x = 2,159.24

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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.