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Finding the Fourth Proportional to 1,561.59, 2,155.05 and 862.97

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Solution

The fourth proportional to 1,561.59, 2,155.05 and 862.97 is: 1,190.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.59 : 2,155.05 = 862.97 : x
  2. Step 2: Convert to fraction form
    1,561.59/2,155.05 = 862.97/x
  3. Step 3: Cross multiply
    1,561.59x = 2,155.05 × 862.97
  4. Step 4: Simplify right side
    1,561.59x = 1,859,732.72
  5. Step 5: Solve for x
    x = 1,859,732.72/1,561.59
  6. Step 6: Final answer
    x = 1,190.92

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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.