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Finding the Fourth Proportional to 2,074.66, 3,109.96 and 1,332.20

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Solution

The fourth proportional to 2,074.66, 3,109.96 and 1,332.20 is: 1,996.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.66 : 3,109.96 = 1,332.20 : x
  2. Step 2: Convert to fraction form
    2,074.66/3,109.96 = 1,332.20/x
  3. Step 3: Cross multiply
    2,074.66x = 3,109.96 × 1,332.20
  4. Step 4: Simplify right side
    2,074.66x = 4,143,080.66
  5. Step 5: Solve for x
    x = 4,143,080.66/2,074.66
  6. Step 6: Final answer
    x = 1,996.99

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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.