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Finding the Fourth Proportional to 2,473.28, 3,708.72 and 914.02

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Solution

The fourth proportional to 2,473.28, 3,708.72 and 914.02 is: 1,370.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.28 : 3,708.72 = 914.02 : x
  2. Step 2: Convert to fraction form
    2,473.28/3,708.72 = 914.02/x
  3. Step 3: Cross multiply
    2,473.28x = 3,708.72 × 914.02
  4. Step 4: Simplify right side
    2,473.28x = 3,389,844.25
  5. Step 5: Solve for x
    x = 3,389,844.25/2,473.28
  6. Step 6: Final answer
    x = 1,370.59

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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.