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Finding the Fourth Proportional to 1,992.12, 2,987.64 and 1,374.90

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Solution

The fourth proportional to 1,992.12, 2,987.64 and 1,374.90 is: 2,061.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.12 : 2,987.64 = 1,374.90 : x
  2. Step 2: Convert to fraction form
    1,992.12/2,987.64 = 1,374.90/x
  3. Step 3: Cross multiply
    1,992.12x = 2,987.64 × 1,374.90
  4. Step 4: Simplify right side
    1,992.12x = 4,107,706.24
  5. Step 5: Solve for x
    x = 4,107,706.24/1,992.12
  6. Step 6: Final answer
    x = 2,061.98

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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.