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Finding the Fourth Proportional to 2,373.67, 3,560.56 and 813.66

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Solution

The fourth proportional to 2,373.67, 3,560.56 and 813.66 is: 1,220.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.67 : 3,560.56 = 813.66 : x
  2. Step 2: Convert to fraction form
    2,373.67/3,560.56 = 813.66/x
  3. Step 3: Cross multiply
    2,373.67x = 3,560.56 × 813.66
  4. Step 4: Simplify right side
    2,373.67x = 2,897,084.10
  5. Step 5: Solve for x
    x = 2,897,084.10/2,373.67
  6. Step 6: Final answer
    x = 1,220.51

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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.