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Finding the Fourth Proportional to 1,257.62, 1,886.40 and 1,149.48

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Solution

The fourth proportional to 1,257.62, 1,886.40 and 1,149.48 is: 1,724.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.62 : 1,886.40 = 1,149.48 : x
  2. Step 2: Convert to fraction form
    1,257.62/1,886.40 = 1,149.48/x
  3. Step 3: Cross multiply
    1,257.62x = 1,886.40 × 1,149.48
  4. Step 4: Simplify right side
    1,257.62x = 2,168,379.07
  5. Step 5: Solve for x
    x = 2,168,379.07/1,257.62
  6. Step 6: Final answer
    x = 1,724.20

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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.