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Finding the Fourth Proportional to 2,475.25, 3,712.31 and 720.27

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Solution

The fourth proportional to 2,475.25, 3,712.31 and 720.27 is: 1,080.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.25 : 3,712.31 = 720.27 : x
  2. Step 2: Convert to fraction form
    2,475.25/3,712.31 = 720.27/x
  3. Step 3: Cross multiply
    2,475.25x = 3,712.31 × 720.27
  4. Step 4: Simplify right side
    2,475.25x = 2,673,865.52
  5. Step 5: Solve for x
    x = 2,673,865.52/2,475.25
  6. Step 6: Final answer
    x = 1,080.24

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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.