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Finding the Fourth Proportional to 2,587.44, 3,870.96 and 1,997.86

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Solution

The fourth proportional to 2,587.44, 3,870.96 and 1,997.86 is: 2,988.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.44 : 3,870.96 = 1,997.86 : x
  2. Step 2: Convert to fraction form
    2,587.44/3,870.96 = 1,997.86/x
  3. Step 3: Cross multiply
    2,587.44x = 3,870.96 × 1,997.86
  4. Step 4: Simplify right side
    2,587.44x = 7,733,636.15
  5. Step 5: Solve for x
    x = 7,733,636.15/2,587.44
  6. Step 6: Final answer
    x = 2,988.91

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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.