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Finding the Fourth Proportional to 1,386.14, 1,913.21 and 881.90

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Solution

The fourth proportional to 1,386.14, 1,913.21 and 881.90 is: 1,217.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.14 : 1,913.21 = 881.90 : x
  2. Step 2: Convert to fraction form
    1,386.14/1,913.21 = 881.90/x
  3. Step 3: Cross multiply
    1,386.14x = 1,913.21 × 881.90
  4. Step 4: Simplify right side
    1,386.14x = 1,687,257.86
  5. Step 5: Solve for x
    x = 1,687,257.86/1,386.14
  6. Step 6: Final answer
    x = 1,217.23

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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.