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Finding the Fourth Proportional to 3,071.26, 4,607.50 and 991.79

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Solution

The fourth proportional to 3,071.26, 4,607.50 and 991.79 is: 1,487.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.26 : 4,607.50 = 991.79 : x
  2. Step 2: Convert to fraction form
    3,071.26/4,607.50 = 991.79/x
  3. Step 3: Cross multiply
    3,071.26x = 4,607.50 × 991.79
  4. Step 4: Simplify right side
    3,071.26x = 4,569,672.43
  5. Step 5: Solve for x
    x = 4,569,672.43/3,071.26
  6. Step 6: Final answer
    x = 1,487.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.