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Finding the Fourth Proportional to 2,041.59, 3,060.99 and 742.89

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Solution

The fourth proportional to 2,041.59, 3,060.99 and 742.89 is: 1,113.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.59 : 3,060.99 = 742.89 : x
  2. Step 2: Convert to fraction form
    2,041.59/3,060.99 = 742.89/x
  3. Step 3: Cross multiply
    2,041.59x = 3,060.99 × 742.89
  4. Step 4: Simplify right side
    2,041.59x = 2,273,978.86
  5. Step 5: Solve for x
    x = 2,273,978.86/2,041.59
  6. Step 6: Final answer
    x = 1,113.83

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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.