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Finding the Fourth Proportional to 2,732.42, 3,768.68 and 1,894.52

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Solution

The fourth proportional to 2,732.42, 3,768.68 and 1,894.52 is: 2,613.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.42 : 3,768.68 = 1,894.52 : x
  2. Step 2: Convert to fraction form
    2,732.42/3,768.68 = 1,894.52/x
  3. Step 3: Cross multiply
    2,732.42x = 3,768.68 × 1,894.52
  4. Step 4: Simplify right side
    2,732.42x = 7,139,853.79
  5. Step 5: Solve for x
    x = 7,139,853.79/2,732.42
  6. Step 6: Final answer
    x = 2,613.02

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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.