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Finding the Fourth Proportional to 2,199.44, 3,311.91 and 1,587.32

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Solution

The fourth proportional to 2,199.44, 3,311.91 and 1,587.32 is: 2,390.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.44 : 3,311.91 = 1,587.32 : x
  2. Step 2: Convert to fraction form
    2,199.44/3,311.91 = 1,587.32/x
  3. Step 3: Cross multiply
    2,199.44x = 3,311.91 × 1,587.32
  4. Step 4: Simplify right side
    2,199.44x = 5,257,060.98
  5. Step 5: Solve for x
    x = 5,257,060.98/2,199.44
  6. Step 6: Final answer
    x = 2,390.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.