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Finding the Fourth Proportional to 2,373.76, 3,561.18 and 813.70

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Solution

The fourth proportional to 2,373.76, 3,561.18 and 813.70 is: 1,220.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.76 : 3,561.18 = 813.70 : x
  2. Step 2: Convert to fraction form
    2,373.76/3,561.18 = 813.70/x
  3. Step 3: Cross multiply
    2,373.76x = 3,561.18 × 813.70
  4. Step 4: Simplify right side
    2,373.76x = 2,897,732.17
  5. Step 5: Solve for x
    x = 2,897,732.17/2,373.76
  6. Step 6: Final answer
    x = 1,220.74

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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.