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Finding the Fourth Proportional to 2,613.14, 3,604.01 and 2,297.74

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Solution

The fourth proportional to 2,613.14, 3,604.01 and 2,297.74 is: 3,169.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.14 : 3,604.01 = 2,297.74 : x
  2. Step 2: Convert to fraction form
    2,613.14/3,604.01 = 2,297.74/x
  3. Step 3: Cross multiply
    2,613.14x = 3,604.01 × 2,297.74
  4. Step 4: Simplify right side
    2,613.14x = 8,281,091.06
  5. Step 5: Solve for x
    x = 8,281,091.06/2,613.14
  6. Step 6: Final answer
    x = 3,169.03

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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.