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Finding the Fourth Proportional to 2,613.57, 3,920.35 and 882.19

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Solution

The fourth proportional to 2,613.57, 3,920.35 and 882.19 is: 1,323.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.57 : 3,920.35 = 882.19 : x
  2. Step 2: Convert to fraction form
    2,613.57/3,920.35 = 882.19/x
  3. Step 3: Cross multiply
    2,613.57x = 3,920.35 × 882.19
  4. Step 4: Simplify right side
    2,613.57x = 3,458,493.57
  5. Step 5: Solve for x
    x = 3,458,493.57/2,613.57
  6. Step 6: Final answer
    x = 1,323.28

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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.