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Finding the Fourth Proportional to 2,862.24, 4,294.02 and 914.52

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Solution

The fourth proportional to 2,862.24, 4,294.02 and 914.52 is: 1,371.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.24 : 4,294.02 = 914.52 : x
  2. Step 2: Convert to fraction form
    2,862.24/4,294.02 = 914.52/x
  3. Step 3: Cross multiply
    2,862.24x = 4,294.02 × 914.52
  4. Step 4: Simplify right side
    2,862.24x = 3,926,967.17
  5. Step 5: Solve for x
    x = 3,926,967.17/2,862.24
  6. Step 6: Final answer
    x = 1,371.99

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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.