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Finding the Fourth Proportional to 1,562.20, 2,155.60 and 863.58

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Solution

The fourth proportional to 1,562.20, 2,155.60 and 863.58 is: 1,191.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.20 : 2,155.60 = 863.58 : x
  2. Step 2: Convert to fraction form
    1,562.20/2,155.60 = 863.58/x
  3. Step 3: Cross multiply
    1,562.20x = 2,155.60 × 863.58
  4. Step 4: Simplify right side
    1,562.20x = 1,861,533.05
  5. Step 5: Solve for x
    x = 1,861,533.05/1,562.20
  6. Step 6: Final answer
    x = 1,191.61

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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.