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Finding the Fourth Proportional to 2,817.60, 4,225.92 and 943.28

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Solution

The fourth proportional to 2,817.60, 4,225.92 and 943.28 is: 1,414.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.60 : 4,225.92 = 943.28 : x
  2. Step 2: Convert to fraction form
    2,817.60/4,225.92 = 943.28/x
  3. Step 3: Cross multiply
    2,817.60x = 4,225.92 × 943.28
  4. Step 4: Simplify right side
    2,817.60x = 3,986,225.82
  5. Step 5: Solve for x
    x = 3,986,225.82/2,817.60
  6. Step 6: Final answer
    x = 1,414.76

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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.