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Finding the Fourth Proportional to 2,316.80, 3,470.72 and 1,287.68

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Solution

The fourth proportional to 2,316.80, 3,470.72 and 1,287.68 is: 1,929.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.80 : 3,470.72 = 1,287.68 : x
  2. Step 2: Convert to fraction form
    2,316.80/3,470.72 = 1,287.68/x
  3. Step 3: Cross multiply
    2,316.80x = 3,470.72 × 1,287.68
  4. Step 4: Simplify right side
    2,316.80x = 4,469,176.73
  5. Step 5: Solve for x
    x = 4,469,176.73/2,316.80
  6. Step 6: Final answer
    x = 1,929.03

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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.