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Finding the Fourth Proportional to 1,248.89, 1,870.41 and 987.13

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Solution

The fourth proportional to 1,248.89, 1,870.41 and 987.13 is: 1,478.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.89 : 1,870.41 = 987.13 : x
  2. Step 2: Convert to fraction form
    1,248.89/1,870.41 = 987.13/x
  3. Step 3: Cross multiply
    1,248.89x = 1,870.41 × 987.13
  4. Step 4: Simplify right side
    1,248.89x = 1,846,337.82
  5. Step 5: Solve for x
    x = 1,846,337.82/1,248.89
  6. Step 6: Final answer
    x = 1,478.38

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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.