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Finding the Fourth Proportional to 1,353.28, 1,864.74 and 1,114.60

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Solution

The fourth proportional to 1,353.28, 1,864.74 and 1,114.60 is: 1,535.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.28 : 1,864.74 = 1,114.60 : x
  2. Step 2: Convert to fraction form
    1,353.28/1,864.74 = 1,114.60/x
  3. Step 3: Cross multiply
    1,353.28x = 1,864.74 × 1,114.60
  4. Step 4: Simplify right side
    1,353.28x = 2,078,439.20
  5. Step 5: Solve for x
    x = 2,078,439.20/1,353.28
  6. Step 6: Final answer
    x = 1,535.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.