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Finding the Fourth Proportional to 1,569.75, 2,166.30 and 871.17

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Solution

The fourth proportional to 1,569.75, 2,166.30 and 871.17 is: 1,202.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.75 : 2,166.30 = 871.17 : x
  2. Step 2: Convert to fraction form
    1,569.75/2,166.30 = 871.17/x
  3. Step 3: Cross multiply
    1,569.75x = 2,166.30 × 871.17
  4. Step 4: Simplify right side
    1,569.75x = 1,887,215.57
  5. Step 5: Solve for x
    x = 1,887,215.57/1,569.75
  6. Step 6: Final answer
    x = 1,202.24

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1.5x scale

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.