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Finding the Fourth Proportional to 2,569, 3,854.04 and 1,030

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Solution

The fourth proportional to 2,569, 3,854.04 and 1,030 is: 1,545.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569 : 3,854.04 = 1,030 : x
  2. Step 2: Convert to fraction form
    2,569/3,854.04 = 1,030/x
  3. Step 3: Cross multiply
    2,569x = 3,854.04 × 1,030
  4. Step 4: Simplify right side
    2,569x = 3,969,661.20
  5. Step 5: Solve for x
    x = 3,969,661.20/2,569
  6. Step 6: Final answer
    x = 1,545.22

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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.