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Finding the Fourth Proportional to 2,372.70, 3,275.44 and 1,587.26

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Solution

The fourth proportional to 2,372.70, 3,275.44 and 1,587.26 is: 2,191.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.70 : 3,275.44 = 1,587.26 : x
  2. Step 2: Convert to fraction form
    2,372.70/3,275.44 = 1,587.26/x
  3. Step 3: Cross multiply
    2,372.70x = 3,275.44 × 1,587.26
  4. Step 4: Simplify right side
    2,372.70x = 5,198,974.89
  5. Step 5: Solve for x
    x = 5,198,974.89/2,372.70
  6. Step 6: Final answer
    x = 2,191.16

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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.