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Finding the Fourth Proportional to 2,618.48, 3,613.14 and 2,088.68

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Solution

The fourth proportional to 2,618.48, 3,613.14 and 2,088.68 is: 2,882.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618.48 : 3,613.14 = 2,088.68 : x
  2. Step 2: Convert to fraction form
    2,618.48/3,613.14 = 2,088.68/x
  3. Step 3: Cross multiply
    2,618.48x = 3,613.14 × 2,088.68
  4. Step 4: Simplify right side
    2,618.48x = 7,546,693.26
  5. Step 5: Solve for x
    x = 7,546,693.26/2,618.48
  6. Step 6: Final answer
    x = 2,882.09

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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.