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Finding the Fourth Proportional to 2,388.68, 3,287.40 and 2,020.49

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Solution

The fourth proportional to 2,388.68, 3,287.40 and 2,020.49 is: 2,780.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388.68 : 3,287.40 = 2,020.49 : x
  2. Step 2: Convert to fraction form
    2,388.68/3,287.40 = 2,020.49/x
  3. Step 3: Cross multiply
    2,388.68x = 3,287.40 × 2,020.49
  4. Step 4: Simplify right side
    2,388.68x = 6,642,158.83
  5. Step 5: Solve for x
    x = 6,642,158.83/2,388.68
  6. Step 6: Final answer
    x = 2,780.68

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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.