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Finding the Fourth Proportional to 2,613.16, 3,920.12 and 882.28

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Solution

The fourth proportional to 2,613.16, 3,920.12 and 882.28 is: 1,323.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.16 : 3,920.12 = 882.28 : x
  2. Step 2: Convert to fraction form
    2,613.16/3,920.12 = 882.28/x
  3. Step 3: Cross multiply
    2,613.16x = 3,920.12 × 882.28
  4. Step 4: Simplify right side
    2,613.16x = 3,458,643.47
  5. Step 5: Solve for x
    x = 3,458,643.47/2,613.16
  6. Step 6: Final answer
    x = 1,323.55

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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.