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Finding the Fourth Proportional to 2,798.45, 4,196.31 and 1,042.77

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Solution

The fourth proportional to 2,798.45, 4,196.31 and 1,042.77 is: 1,563.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.45 : 4,196.31 = 1,042.77 : x
  2. Step 2: Convert to fraction form
    2,798.45/4,196.31 = 1,042.77/x
  3. Step 3: Cross multiply
    2,798.45x = 4,196.31 × 1,042.77
  4. Step 4: Simplify right side
    2,798.45x = 4,375,798.00
  5. Step 5: Solve for x
    x = 4,375,798.00/2,798.45
  6. Step 6: Final answer
    x = 1,563.65

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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.