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Finding the Fourth Proportional to 2,287.91, 3,157.31 and 1,239.98

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Solution

The fourth proportional to 2,287.91, 3,157.31 and 1,239.98 is: 1,711.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.91 : 3,157.31 = 1,239.98 : x
  2. Step 2: Convert to fraction form
    2,287.91/3,157.31 = 1,239.98/x
  3. Step 3: Cross multiply
    2,287.91x = 3,157.31 × 1,239.98
  4. Step 4: Simplify right side
    2,287.91x = 3,914,985.47
  5. Step 5: Solve for x
    x = 3,914,985.47/2,287.91
  6. Step 6: Final answer
    x = 1,711.16

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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.