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Finding the Fourth Proportional to 2,891.52, 4,337.76 and 1,160.64

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Solution

The fourth proportional to 2,891.52, 4,337.76 and 1,160.64 is: 1,741.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.52 : 4,337.76 = 1,160.64 : x
  2. Step 2: Convert to fraction form
    2,891.52/4,337.76 = 1,160.64/x
  3. Step 3: Cross multiply
    2,891.52x = 4,337.76 × 1,160.64
  4. Step 4: Simplify right side
    2,891.52x = 5,034,577.77
  5. Step 5: Solve for x
    x = 5,034,577.77/2,891.52
  6. Step 6: Final answer
    x = 1,741.15

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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.