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Finding the Fourth Proportional to 1,564.88, 2,349.62 and 872.90

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Solution

The fourth proportional to 1,564.88, 2,349.62 and 872.90 is: 1,310.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.88 : 2,349.62 = 872.90 : x
  2. Step 2: Convert to fraction form
    1,564.88/2,349.62 = 872.90/x
  3. Step 3: Cross multiply
    1,564.88x = 2,349.62 × 872.90
  4. Step 4: Simplify right side
    1,564.88x = 2,050,983.30
  5. Step 5: Solve for x
    x = 2,050,983.30/1,564.88
  6. Step 6: Final answer
    x = 1,310.63

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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.