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Finding the Fourth Proportional to 3,178.88, 4,387.12 and 1,781.90

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Solution

The fourth proportional to 3,178.88, 4,387.12 and 1,781.90 is: 2,459.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.88 : 4,387.12 = 1,781.90 : x
  2. Step 2: Convert to fraction form
    3,178.88/4,387.12 = 1,781.90/x
  3. Step 3: Cross multiply
    3,178.88x = 4,387.12 × 1,781.90
  4. Step 4: Simplify right side
    3,178.88x = 7,817,382.74
  5. Step 5: Solve for x
    x = 7,817,382.74/3,178.88
  6. Step 6: Final answer
    x = 2,459.17

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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.