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Finding the Fourth Proportional to 2,074, 2,867.52 and 1,982.20

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Solution

The fourth proportional to 2,074, 2,867.52 and 1,982.20 is: 2,740.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074 : 2,867.52 = 1,982.20 : x
  2. Step 2: Convert to fraction form
    2,074/2,867.52 = 1,982.20/x
  3. Step 3: Cross multiply
    2,074x = 2,867.52 × 1,982.20
  4. Step 4: Simplify right side
    2,074x = 5,683,998.14
  5. Step 5: Solve for x
    x = 5,683,998.14/2,074
  6. Step 6: Final answer
    x = 2,740.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.