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Finding the Fourth Proportional to 2,070.44, 3,098.72 and 2,042.75

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Solution

The fourth proportional to 2,070.44, 3,098.72 and 2,042.75 is: 3,057.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.44 : 3,098.72 = 2,042.75 : x
  2. Step 2: Convert to fraction form
    2,070.44/3,098.72 = 2,042.75/x
  3. Step 3: Cross multiply
    2,070.44x = 3,098.72 × 2,042.75
  4. Step 4: Simplify right side
    2,070.44x = 6,329,923.13
  5. Step 5: Solve for x
    x = 6,329,923.13/2,070.44
  6. Step 6: Final answer
    x = 3,057.29

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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.