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Finding the Fourth Proportional to 2,952.50, 4,427.71 and 871.95

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Solution

The fourth proportional to 2,952.50, 4,427.71 and 871.95 is: 1,307.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.50 : 4,427.71 = 871.95 : x
  2. Step 2: Convert to fraction form
    2,952.50/4,427.71 = 871.95/x
  3. Step 3: Cross multiply
    2,952.50x = 4,427.71 × 871.95
  4. Step 4: Simplify right side
    2,952.50x = 3,860,741.73
  5. Step 5: Solve for x
    x = 3,860,741.73/2,952.50
  6. Step 6: Final answer
    x = 1,307.62

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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.