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Finding the Fourth Proportional to 1,569, 2,165.22 and 1,104.24

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Solution

The fourth proportional to 1,569, 2,165.22 and 1,104.24 is: 1,523.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569 : 2,165.22 = 1,104.24 : x
  2. Step 2: Convert to fraction form
    1,569/2,165.22 = 1,104.24/x
  3. Step 3: Cross multiply
    1,569x = 2,165.22 × 1,104.24
  4. Step 4: Simplify right side
    1,569x = 2,390,922.53
  5. Step 5: Solve for x
    x = 2,390,922.53/1,569
  6. Step 6: Final answer
    x = 1,523.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.