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Finding the Fourth Proportional to 2,041.96, 3,061.14 and 743.20

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Solution

The fourth proportional to 2,041.96, 3,061.14 and 743.20 is: 1,114.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.96 : 3,061.14 = 743.20 : x
  2. Step 2: Convert to fraction form
    2,041.96/3,061.14 = 743.20/x
  3. Step 3: Cross multiply
    2,041.96x = 3,061.14 × 743.20
  4. Step 4: Simplify right side
    2,041.96x = 2,275,039.25
  5. Step 5: Solve for x
    x = 2,275,039.25/2,041.96
  6. Step 6: Final answer
    x = 1,114.14

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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.