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Finding the Fourth Proportional to 2,809.73, 4,216.89 and 1,988.80

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Solution

The fourth proportional to 2,809.73, 4,216.89 and 1,988.80 is: 2,984.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.73 : 4,216.89 = 1,988.80 : x
  2. Step 2: Convert to fraction form
    2,809.73/4,216.89 = 1,988.80/x
  3. Step 3: Cross multiply
    2,809.73x = 4,216.89 × 1,988.80
  4. Step 4: Simplify right side
    2,809.73x = 8,386,550.83
  5. Step 5: Solve for x
    x = 8,386,550.83/2,809.73
  6. Step 6: Final answer
    x = 2,984.82

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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.