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Finding the Fourth Proportional to 2,199.42, 3,034.92 and 1,315.44

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Solution

The fourth proportional to 2,199.42, 3,034.92 and 1,315.44 is: 1,815.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.42 : 3,034.92 = 1,315.44 : x
  2. Step 2: Convert to fraction form
    2,199.42/3,034.92 = 1,315.44/x
  3. Step 3: Cross multiply
    2,199.42x = 3,034.92 × 1,315.44
  4. Step 4: Simplify right side
    2,199.42x = 3,992,255.16
  5. Step 5: Solve for x
    x = 3,992,255.16/2,199.42
  6. Step 6: Final answer
    x = 1,815.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.