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Finding the Fourth Proportional to 2,469.92, 3,405.60 and 2,050.76

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Solution

The fourth proportional to 2,469.92, 3,405.60 and 2,050.76 is: 2,827.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.92 : 3,405.60 = 2,050.76 : x
  2. Step 2: Convert to fraction form
    2,469.92/3,405.60 = 2,050.76/x
  3. Step 3: Cross multiply
    2,469.92x = 3,405.60 × 2,050.76
  4. Step 4: Simplify right side
    2,469.92x = 6,984,068.26
  5. Step 5: Solve for x
    x = 6,984,068.26/2,469.92
  6. Step 6: Final answer
    x = 2,827.65

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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.