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Finding the Fourth Proportional to 2,811.52, 4,211.02 and 1,987.30

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Solution

The fourth proportional to 2,811.52, 4,211.02 and 1,987.30 is: 2,976.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.52 : 4,211.02 = 1,987.30 : x
  2. Step 2: Convert to fraction form
    2,811.52/4,211.02 = 1,987.30/x
  3. Step 3: Cross multiply
    2,811.52x = 4,211.02 × 1,987.30
  4. Step 4: Simplify right side
    2,811.52x = 8,368,560.05
  5. Step 5: Solve for x
    x = 8,368,560.05/2,811.52
  6. Step 6: Final answer
    x = 2,976.53

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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.