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Finding the Fourth Proportional to 2,352.44, 3,529.17 and 891.61

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Solution

The fourth proportional to 2,352.44, 3,529.17 and 891.61 is: 1,337.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.44 : 3,529.17 = 891.61 : x
  2. Step 2: Convert to fraction form
    2,352.44/3,529.17 = 891.61/x
  3. Step 3: Cross multiply
    2,352.44x = 3,529.17 × 891.61
  4. Step 4: Simplify right side
    2,352.44x = 3,146,634.44
  5. Step 5: Solve for x
    x = 3,146,634.44/2,352.44
  6. Step 6: Final answer
    x = 1,337.60

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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.