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Finding the Fourth Proportional to 1,569.84, 2,166.39 and 871.22

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Solution

The fourth proportional to 1,569.84, 2,166.39 and 871.22 is: 1,202.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.84 : 2,166.39 = 871.22 : x
  2. Step 2: Convert to fraction form
    1,569.84/2,166.39 = 871.22/x
  3. Step 3: Cross multiply
    1,569.84x = 2,166.39 × 871.22
  4. Step 4: Simplify right side
    1,569.84x = 1,887,391.46
  5. Step 5: Solve for x
    x = 1,887,391.46/1,569.84
  6. Step 6: Final answer
    x = 1,202.28

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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.