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Finding the Fourth Proportional to 2,798.27, 4,196.94 and 1,042.86

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Solution

The fourth proportional to 2,798.27, 4,196.94 and 1,042.86 is: 1,564.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.27 : 4,196.94 = 1,042.86 : x
  2. Step 2: Convert to fraction form
    2,798.27/4,196.94 = 1,042.86/x
  3. Step 3: Cross multiply
    2,798.27x = 4,196.94 × 1,042.86
  4. Step 4: Simplify right side
    2,798.27x = 4,376,799.86
  5. Step 5: Solve for x
    x = 4,376,799.86/2,798.27
  6. Step 6: Final answer
    x = 1,564.11

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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.