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Finding the Fourth Proportional to 2,965.72, 4,449.24 and 1,116.88

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Solution

The fourth proportional to 2,965.72, 4,449.24 and 1,116.88 is: 1,675.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.72 : 4,449.24 = 1,116.88 : x
  2. Step 2: Convert to fraction form
    2,965.72/4,449.24 = 1,116.88/x
  3. Step 3: Cross multiply
    2,965.72x = 4,449.24 × 1,116.88
  4. Step 4: Simplify right side
    2,965.72x = 4,969,267.17
  5. Step 5: Solve for x
    x = 4,969,267.17/2,965.72
  6. Step 6: Final answer
    x = 1,675.57

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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.