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Finding the Fourth Proportional to 2,569.80, 3,855.24 and 1,529.40

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Solution

The fourth proportional to 2,569.80, 3,855.24 and 1,529.40 is: 2,294.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.80 : 3,855.24 = 1,529.40 : x
  2. Step 2: Convert to fraction form
    2,569.80/3,855.24 = 1,529.40/x
  3. Step 3: Cross multiply
    2,569.80x = 3,855.24 × 1,529.40
  4. Step 4: Simplify right side
    2,569.80x = 5,896,204.06
  5. Step 5: Solve for x
    x = 5,896,204.06/2,569.80
  6. Step 6: Final answer
    x = 2,294.42

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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.