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Finding the Fourth Proportional to 1,257.25, 1,882.36 and 948.14

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Solution

The fourth proportional to 1,257.25, 1,882.36 and 948.14 is: 1,419.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.25 : 1,882.36 = 948.14 : x
  2. Step 2: Convert to fraction form
    1,257.25/1,882.36 = 948.14/x
  3. Step 3: Cross multiply
    1,257.25x = 1,882.36 × 948.14
  4. Step 4: Simplify right side
    1,257.25x = 1,784,731.40
  5. Step 5: Solve for x
    x = 1,784,731.40/1,257.25
  6. Step 6: Final answer
    x = 1,419.55

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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.