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Finding the Fourth Proportional to 1,991.31, 2,987.30 and 821.01

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Solution

The fourth proportional to 1,991.31, 2,987.30 and 821.01 is: 1,231.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.31 : 2,987.30 = 821.01 : x
  2. Step 2: Convert to fraction form
    1,991.31/2,987.30 = 821.01/x
  3. Step 3: Cross multiply
    1,991.31x = 2,987.30 × 821.01
  4. Step 4: Simplify right side
    1,991.31x = 2,452,603.17
  5. Step 5: Solve for x
    x = 2,452,603.17/1,991.31
  6. Step 6: Final answer
    x = 1,231.65

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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.