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Finding the Fourth Proportional to 2,569, 3,545.84 and 1,575.12

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Solution

The fourth proportional to 2,569, 3,545.84 and 1,575.12 is: 2,174.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569 : 3,545.84 = 1,575.12 : x
  2. Step 2: Convert to fraction form
    2,569/3,545.84 = 1,575.12/x
  3. Step 3: Cross multiply
    2,569x = 3,545.84 × 1,575.12
  4. Step 4: Simplify right side
    2,569x = 5,585,123.50
  5. Step 5: Solve for x
    x = 5,585,123.50/2,569
  6. Step 6: Final answer
    x = 2,174.05

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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.