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Finding the Fourth Proportional to 2,798.28, 4,194.68 and 1,042.00

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Solution

The fourth proportional to 2,798.28, 4,194.68 and 1,042.00 is: 1,561.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.28 : 4,194.68 = 1,042.00 : x
  2. Step 2: Convert to fraction form
    2,798.28/4,194.68 = 1,042.00/x
  3. Step 3: Cross multiply
    2,798.28x = 4,194.68 × 1,042.00
  4. Step 4: Simplify right side
    2,798.28x = 4,370,838.19
  5. Step 5: Solve for x
    x = 4,370,838.19/2,798.28
  6. Step 6: Final answer
    x = 1,561.97

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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.