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Finding the Fourth Proportional to 1,862.28, 2,793.76 and 938.30

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Solution

The fourth proportional to 1,862.28, 2,793.76 and 938.30 is: 1,407.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.28 : 2,793.76 = 938.30 : x
  2. Step 2: Convert to fraction form
    1,862.28/2,793.76 = 938.30/x
  3. Step 3: Cross multiply
    1,862.28x = 2,793.76 × 938.30
  4. Step 4: Simplify right side
    1,862.28x = 2,621,385.01
  5. Step 5: Solve for x
    x = 2,621,385.01/1,862.28
  6. Step 6: Final answer
    x = 1,407.62

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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.