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Finding the Fourth Proportional to 2,778.55, 4,167.56 and 1,682.62

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Solution

The fourth proportional to 2,778.55, 4,167.56 and 1,682.62 is: 2,523.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.55 : 4,167.56 = 1,682.62 : x
  2. Step 2: Convert to fraction form
    2,778.55/4,167.56 = 1,682.62/x
  3. Step 3: Cross multiply
    2,778.55x = 4,167.56 × 1,682.62
  4. Step 4: Simplify right side
    2,778.55x = 7,012,411.39
  5. Step 5: Solve for x
    x = 7,012,411.39/2,778.55
  6. Step 6: Final answer
    x = 2,523.77

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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.