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Finding the Fourth Proportional to 2,798.80, 4,198.56 and 1,703.68

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Solution

The fourth proportional to 2,798.80, 4,198.56 and 1,703.68 is: 2,555.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.80 : 4,198.56 = 1,703.68 : x
  2. Step 2: Convert to fraction form
    2,798.80/4,198.56 = 1,703.68/x
  3. Step 3: Cross multiply
    2,798.80x = 4,198.56 × 1,703.68
  4. Step 4: Simplify right side
    2,798.80x = 7,153,002.70
  5. Step 5: Solve for x
    x = 7,153,002.70/2,798.80
  6. Step 6: Final answer
    x = 2,555.74

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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.