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Finding the Fourth Proportional to 2,613.68, 3,920.48 and 883.52

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Solution

The fourth proportional to 2,613.68, 3,920.48 and 883.52 is: 1,325.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.68 : 3,920.48 = 883.52 : x
  2. Step 2: Convert to fraction form
    2,613.68/3,920.48 = 883.52/x
  3. Step 3: Cross multiply
    2,613.68x = 3,920.48 × 883.52
  4. Step 4: Simplify right side
    2,613.68x = 3,463,822.49
  5. Step 5: Solve for x
    x = 3,463,822.49/2,613.68
  6. Step 6: Final answer
    x = 1,325.27

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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.