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Finding the Fourth Proportional to 2,687.23, 4,030.38 and 712.88

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Solution

The fourth proportional to 2,687.23, 4,030.38 and 712.88 is: 1,069.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.23 : 4,030.38 = 712.88 : x
  2. Step 2: Convert to fraction form
    2,687.23/4,030.38 = 712.88/x
  3. Step 3: Cross multiply
    2,687.23x = 4,030.38 × 712.88
  4. Step 4: Simplify right side
    2,687.23x = 2,873,177.29
  5. Step 5: Solve for x
    x = 2,873,177.29/2,687.23
  6. Step 6: Final answer
    x = 1,069.20

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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.