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Finding the Fourth Proportional to 1,993.32, 2,984.38 and 1,017.32

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Solution

The fourth proportional to 1,993.32, 2,984.38 and 1,017.32 is: 1,523.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.32 : 2,984.38 = 1,017.32 : x
  2. Step 2: Convert to fraction form
    1,993.32/2,984.38 = 1,017.32/x
  3. Step 3: Cross multiply
    1,993.32x = 2,984.38 × 1,017.32
  4. Step 4: Simplify right side
    1,993.32x = 3,036,069.46
  5. Step 5: Solve for x
    x = 3,036,069.46/1,993.32
  6. Step 6: Final answer
    x = 1,523.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.