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Finding the Fourth Proportional to 2,273.89, 3,411.65 and 1,041.61

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Solution

The fourth proportional to 2,273.89, 3,411.65 and 1,041.61 is: 1,562.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.89 : 3,411.65 = 1,041.61 : x
  2. Step 2: Convert to fraction form
    2,273.89/3,411.65 = 1,041.61/x
  3. Step 3: Cross multiply
    2,273.89x = 3,411.65 × 1,041.61
  4. Step 4: Simplify right side
    2,273.89x = 3,553,608.76
  5. Step 5: Solve for x
    x = 3,553,608.76/2,273.89
  6. Step 6: Final answer
    x = 1,562.79

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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.