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Finding the Fourth Proportional to 1,966.83, 2,948.19 and 871.97

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Solution

The fourth proportional to 1,966.83, 2,948.19 and 871.97 is: 1,307.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.83 : 2,948.19 = 871.97 : x
  2. Step 2: Convert to fraction form
    1,966.83/2,948.19 = 871.97/x
  3. Step 3: Cross multiply
    1,966.83x = 2,948.19 × 871.97
  4. Step 4: Simplify right side
    1,966.83x = 2,570,718.49
  5. Step 5: Solve for x
    x = 2,570,718.49/1,966.83
  6. Step 6: Final answer
    x = 1,307.04

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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.