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Finding the Fourth Proportional to 3,116.26, 4,672.74 and 924.70

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Solution

The fourth proportional to 3,116.26, 4,672.74 and 924.70 is: 1,386.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.26 : 4,672.74 = 924.70 : x
  2. Step 2: Convert to fraction form
    3,116.26/4,672.74 = 924.70/x
  3. Step 3: Cross multiply
    3,116.26x = 4,672.74 × 924.70
  4. Step 4: Simplify right side
    3,116.26x = 4,320,882.68
  5. Step 5: Solve for x
    x = 4,320,882.68/3,116.26
  6. Step 6: Final answer
    x = 1,386.56

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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.