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Finding the Fourth Proportional to 2,188.59, 3,015.12 and 1,524.24

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Solution

The fourth proportional to 2,188.59, 3,015.12 and 1,524.24 is: 2,099.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.59 : 3,015.12 = 1,524.24 : x
  2. Step 2: Convert to fraction form
    2,188.59/3,015.12 = 1,524.24/x
  3. Step 3: Cross multiply
    2,188.59x = 3,015.12 × 1,524.24
  4. Step 4: Simplify right side
    2,188.59x = 4,595,766.51
  5. Step 5: Solve for x
    x = 4,595,766.51/2,188.59
  6. Step 6: Final answer
    x = 2,099.88

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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.