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Finding the Fourth Proportional to 1,251.89, 1,877.86 and 386.21

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Solution

The fourth proportional to 1,251.89, 1,877.86 and 386.21 is: 579.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.89 : 1,877.86 = 386.21 : x
  2. Step 2: Convert to fraction form
    1,251.89/1,877.86 = 386.21/x
  3. Step 3: Cross multiply
    1,251.89x = 1,877.86 × 386.21
  4. Step 4: Simplify right side
    1,251.89x = 725,248.31
  5. Step 5: Solve for x
    x = 725,248.31/1,251.89
  6. Step 6: Final answer
    x = 579.32

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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.