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Finding the Fourth Proportional to 2,242.68, 3,359.16 and 1,086

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Solution

The fourth proportional to 2,242.68, 3,359.16 and 1,086 is: 1,626.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.68 : 3,359.16 = 1,086 : x
  2. Step 2: Convert to fraction form
    2,242.68/3,359.16 = 1,086/x
  3. Step 3: Cross multiply
    2,242.68x = 3,359.16 × 1,086
  4. Step 4: Simplify right side
    2,242.68x = 3,648,047.76
  5. Step 5: Solve for x
    x = 3,648,047.76/2,242.68
  6. Step 6: Final answer
    x = 1,626.65

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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.