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Finding the Fourth Proportional to 3,034.92, 4,189.77 and 2,045.40

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Solution

The fourth proportional to 3,034.92, 4,189.77 and 2,045.40 is: 2,823.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.92 : 4,189.77 = 2,045.40 : x
  2. Step 2: Convert to fraction form
    3,034.92/4,189.77 = 2,045.40/x
  3. Step 3: Cross multiply
    3,034.92x = 4,189.77 × 2,045.40
  4. Step 4: Simplify right side
    3,034.92x = 8,569,755.56
  5. Step 5: Solve for x
    x = 8,569,755.56/3,034.92
  6. Step 6: Final answer
    x = 2,823.72

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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.