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Finding the Fourth Proportional to 2,952.30, 4,427.41 and 871.75

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Solution

The fourth proportional to 2,952.30, 4,427.41 and 871.75 is: 1,307.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.30 : 4,427.41 = 871.75 : x
  2. Step 2: Convert to fraction form
    2,952.30/4,427.41 = 871.75/x
  3. Step 3: Cross multiply
    2,952.30x = 4,427.41 × 871.75
  4. Step 4: Simplify right side
    2,952.30x = 3,859,594.67
  5. Step 5: Solve for x
    x = 3,859,594.67/2,952.30
  6. Step 6: Final answer
    x = 1,307.32

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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.