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Finding the Fourth Proportional to 1,992.34, 2,987.70 and 821.53

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Solution

The fourth proportional to 1,992.34, 2,987.70 and 821.53 is: 1,231.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.34 : 2,987.70 = 821.53 : x
  2. Step 2: Convert to fraction form
    1,992.34/2,987.70 = 821.53/x
  3. Step 3: Cross multiply
    1,992.34x = 2,987.70 × 821.53
  4. Step 4: Simplify right side
    1,992.34x = 2,454,485.18
  5. Step 5: Solve for x
    x = 2,454,485.18/1,992.34
  6. Step 6: Final answer
    x = 1,231.96

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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.