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Finding the Fourth Proportional to 2,373.57, 3,561.71 and 814.05

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Solution

The fourth proportional to 2,373.57, 3,561.71 and 814.05 is: 1,221.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.57 : 3,561.71 = 814.05 : x
  2. Step 2: Convert to fraction form
    2,373.57/3,561.71 = 814.05/x
  3. Step 3: Cross multiply
    2,373.57x = 3,561.71 × 814.05
  4. Step 4: Simplify right side
    2,373.57x = 2,899,405.96
  5. Step 5: Solve for x
    x = 2,899,405.96/2,373.57
  6. Step 6: Final answer
    x = 1,221.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.