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Finding the Fourth Proportional to 1,257.14, 1,881.66 and 1,024.04

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Solution

The fourth proportional to 1,257.14, 1,881.66 and 1,024.04 is: 1,532.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.14 : 1,881.66 = 1,024.04 : x
  2. Step 2: Convert to fraction form
    1,257.14/1,881.66 = 1,024.04/x
  3. Step 3: Cross multiply
    1,257.14x = 1,881.66 × 1,024.04
  4. Step 4: Simplify right side
    1,257.14x = 1,926,895.11
  5. Step 5: Solve for x
    x = 1,926,895.11/1,257.14
  6. Step 6: Final answer
    x = 1,532.76

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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.