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Finding the Fourth Proportional to 3,042.78, 4,195.17 and 2,045.94

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Solution

The fourth proportional to 3,042.78, 4,195.17 and 2,045.94 is: 2,820.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.78 : 4,195.17 = 2,045.94 : x
  2. Step 2: Convert to fraction form
    3,042.78/4,195.17 = 2,045.94/x
  3. Step 3: Cross multiply
    3,042.78x = 4,195.17 × 2,045.94
  4. Step 4: Simplify right side
    3,042.78x = 8,583,066.11
  5. Step 5: Solve for x
    x = 8,583,066.11/3,042.78
  6. Step 6: Final answer
    x = 2,820.80

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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.