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Finding the Fourth Proportional to 1,993.15, 2,987.16 and 821.76

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Solution

The fourth proportional to 1,993.15, 2,987.16 and 821.76 is: 1,231.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.15 : 2,987.16 = 821.76 : x
  2. Step 2: Convert to fraction form
    1,993.15/2,987.16 = 821.76/x
  3. Step 3: Cross multiply
    1,993.15x = 2,987.16 × 821.76
  4. Step 4: Simplify right side
    1,993.15x = 2,454,728.60
  5. Step 5: Solve for x
    x = 2,454,728.60/1,993.15
  6. Step 6: Final answer
    x = 1,231.58

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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.