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Finding the Fourth Proportional to 3,074.90, 4,242.14 and 1,893.92

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Solution

The fourth proportional to 3,074.90, 4,242.14 and 1,893.92 is: 2,612.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.90 : 4,242.14 = 1,893.92 : x
  2. Step 2: Convert to fraction form
    3,074.90/4,242.14 = 1,893.92/x
  3. Step 3: Cross multiply
    3,074.90x = 4,242.14 × 1,893.92
  4. Step 4: Simplify right side
    3,074.90x = 8,034,266.12
  5. Step 5: Solve for x
    x = 8,034,266.12/3,074.90
  6. Step 6: Final answer
    x = 2,612.86

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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.