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Finding the Fourth Proportional to 2,798.40, 4,194.87 and 1,042.12

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Solution

The fourth proportional to 2,798.40, 4,194.87 and 1,042.12 is: 1,562.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.40 : 4,194.87 = 1,042.12 : x
  2. Step 2: Convert to fraction form
    2,798.40/4,194.87 = 1,042.12/x
  3. Step 3: Cross multiply
    2,798.40x = 4,194.87 × 1,042.12
  4. Step 4: Simplify right side
    2,798.40x = 4,371,557.92
  5. Step 5: Solve for x
    x = 4,371,557.92/2,798.40
  6. Step 6: Final answer
    x = 1,562.16

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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.