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Finding the Fourth Proportional to 2,199.74, 3,034.24 and 1,536.35

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Solution

The fourth proportional to 2,199.74, 3,034.24 and 1,536.35 is: 2,119.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.74 : 3,034.24 = 1,536.35 : x
  2. Step 2: Convert to fraction form
    2,199.74/3,034.24 = 1,536.35/x
  3. Step 3: Cross multiply
    2,199.74x = 3,034.24 × 1,536.35
  4. Step 4: Simplify right side
    2,199.74x = 4,661,654.62
  5. Step 5: Solve for x
    x = 4,661,654.62/2,199.74
  6. Step 6: Final answer
    x = 2,119.18

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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.