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Finding the Fourth Proportional to 2,461.02, 3,691.99 and 795.59

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Solution

The fourth proportional to 2,461.02, 3,691.99 and 795.59 is: 1,193.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.02 : 3,691.99 = 795.59 : x
  2. Step 2: Convert to fraction form
    2,461.02/3,691.99 = 795.59/x
  3. Step 3: Cross multiply
    2,461.02x = 3,691.99 × 795.59
  4. Step 4: Simplify right side
    2,461.02x = 2,937,306.70
  5. Step 5: Solve for x
    x = 2,937,306.70/2,461.02
  6. Step 6: Final answer
    x = 1,193.53

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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.