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Finding the Fourth Proportional to 3,077.82, 4,246.90 and 1,751.55

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Solution

The fourth proportional to 3,077.82, 4,246.90 and 1,751.55 is: 2,416.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.82 : 4,246.90 = 1,751.55 : x
  2. Step 2: Convert to fraction form
    3,077.82/4,246.90 = 1,751.55/x
  3. Step 3: Cross multiply
    3,077.82x = 4,246.90 × 1,751.55
  4. Step 4: Simplify right side
    3,077.82x = 7,438,637.39
  5. Step 5: Solve for x
    x = 7,438,637.39/3,077.82
  6. Step 6: Final answer
    x = 2,416.85

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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.