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Finding the Fourth Proportional to 2,065.69, 3,100.41 and 1,287.20

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Solution

The fourth proportional to 2,065.69, 3,100.41 and 1,287.20 is: 1,931.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.69 : 3,100.41 = 1,287.20 : x
  2. Step 2: Convert to fraction form
    2,065.69/3,100.41 = 1,287.20/x
  3. Step 3: Cross multiply
    2,065.69x = 3,100.41 × 1,287.20
  4. Step 4: Simplify right side
    2,065.69x = 3,990,841.32
  5. Step 5: Solve for x
    x = 3,990,841.32/2,065.69
  6. Step 6: Final answer
    x = 1,931.97

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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.