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Finding the Fourth Proportional to 3,042.34, 4,194.12 and 2,157.82

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Solution

The fourth proportional to 3,042.34, 4,194.12 and 2,157.82 is: 2,974.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.34 : 4,194.12 = 2,157.82 : x
  2. Step 2: Convert to fraction form
    3,042.34/4,194.12 = 2,157.82/x
  3. Step 3: Cross multiply
    3,042.34x = 4,194.12 × 2,157.82
  4. Step 4: Simplify right side
    3,042.34x = 9,050,156.02
  5. Step 5: Solve for x
    x = 9,050,156.02/3,042.34
  6. Step 6: Final answer
    x = 2,974.74

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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.