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Finding the Fourth Proportional to 1,562.34, 2,155.86 and 863.58

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Solution

The fourth proportional to 1,562.34, 2,155.86 and 863.58 is: 1,191.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.34 : 2,155.86 = 863.58 : x
  2. Step 2: Convert to fraction form
    1,562.34/2,155.86 = 863.58/x
  3. Step 3: Cross multiply
    1,562.34x = 2,155.86 × 863.58
  4. Step 4: Simplify right side
    1,562.34x = 1,861,757.58
  5. Step 5: Solve for x
    x = 1,861,757.58/1,562.34
  6. Step 6: Final answer
    x = 1,191.65

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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.