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Finding the Fourth Proportional to 2,763.61, 4,144.47 and 914.29

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Solution

The fourth proportional to 2,763.61, 4,144.47 and 914.29 is: 1,371.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.61 : 4,144.47 = 914.29 : x
  2. Step 2: Convert to fraction form
    2,763.61/4,144.47 = 914.29/x
  3. Step 3: Cross multiply
    2,763.61x = 4,144.47 × 914.29
  4. Step 4: Simplify right side
    2,763.61x = 3,789,247.48
  5. Step 5: Solve for x
    x = 3,789,247.48/2,763.61
  6. Step 6: Final answer
    x = 1,371.12

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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.