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Finding the Fourth Proportional to 2,827.94, 3,902.52 and 1,569

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Solution

The fourth proportional to 2,827.94, 3,902.52 and 1,569 is: 2,165.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.94 : 3,902.52 = 1,569 : x
  2. Step 2: Convert to fraction form
    2,827.94/3,902.52 = 1,569/x
  3. Step 3: Cross multiply
    2,827.94x = 3,902.52 × 1,569
  4. Step 4: Simplify right side
    2,827.94x = 6,123,053.88
  5. Step 5: Solve for x
    x = 6,123,053.88/2,827.94
  6. Step 6: Final answer
    x = 2,165.20

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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.