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Finding the Fourth Proportional to 2,513.24, 3,770.22 and 782

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Solution

The fourth proportional to 2,513.24, 3,770.22 and 782 is: 1,173.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.24 : 3,770.22 = 782 : x
  2. Step 2: Convert to fraction form
    2,513.24/3,770.22 = 782/x
  3. Step 3: Cross multiply
    2,513.24x = 3,770.22 × 782
  4. Step 4: Simplify right side
    2,513.24x = 2,948,312.04
  5. Step 5: Solve for x
    x = 2,948,312.04/2,513.24
  6. Step 6: Final answer
    x = 1,173.11

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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.