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Finding the Fourth Proportional to 2,188.68, 3,283.56 and 2,008.68

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Solution

The fourth proportional to 2,188.68, 3,283.56 and 2,008.68 is: 3,013.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.68 : 3,283.56 = 2,008.68 : x
  2. Step 2: Convert to fraction form
    2,188.68/3,283.56 = 2,008.68/x
  3. Step 3: Cross multiply
    2,188.68x = 3,283.56 × 2,008.68
  4. Step 4: Simplify right side
    2,188.68x = 6,595,621.30
  5. Step 5: Solve for x
    x = 6,595,621.30/2,188.68
  6. Step 6: Final answer
    x = 3,013.52

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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.