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Finding the Fourth Proportional to 2,199.84, 3,295.17 and 1,319.55

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Solution

The fourth proportional to 2,199.84, 3,295.17 and 1,319.55 is: 1,976.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.84 : 3,295.17 = 1,319.55 : x
  2. Step 2: Convert to fraction form
    2,199.84/3,295.17 = 1,319.55/x
  3. Step 3: Cross multiply
    2,199.84x = 3,295.17 × 1,319.55
  4. Step 4: Simplify right side
    2,199.84x = 4,348,141.57
  5. Step 5: Solve for x
    x = 4,348,141.57/2,199.84
  6. Step 6: Final answer
    x = 1,976.57

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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.