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Finding the Fourth Proportional to 1,561.20, 2,154.22 and 862.57

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Solution

The fourth proportional to 1,561.20, 2,154.22 and 862.57 is: 1,190.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.20 : 2,154.22 = 862.57 : x
  2. Step 2: Convert to fraction form
    1,561.20/2,154.22 = 862.57/x
  3. Step 3: Cross multiply
    1,561.20x = 2,154.22 × 862.57
  4. Step 4: Simplify right side
    1,561.20x = 1,858,165.55
  5. Step 5: Solve for x
    x = 1,858,165.55/1,561.20
  6. Step 6: Final answer
    x = 1,190.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.