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Finding the Fourth Proportional to 2,798.91, 4,195.62 and 1,042.62

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Solution

The fourth proportional to 2,798.91, 4,195.62 and 1,042.62 is: 1,562.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.91 : 4,195.62 = 1,042.62 : x
  2. Step 2: Convert to fraction form
    2,798.91/4,195.62 = 1,042.62/x
  3. Step 3: Cross multiply
    2,798.91x = 4,195.62 × 1,042.62
  4. Step 4: Simplify right side
    2,798.91x = 4,374,437.32
  5. Step 5: Solve for x
    x = 4,374,437.32/2,798.91
  6. Step 6: Final answer
    x = 1,562.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.