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Finding the Fourth Proportional to 2,308.86, 3,187.44 and 1,524.24

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Solution

The fourth proportional to 2,308.86, 3,187.44 and 1,524.24 is: 2,104.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.86 : 3,187.44 = 1,524.24 : x
  2. Step 2: Convert to fraction form
    2,308.86/3,187.44 = 1,524.24/x
  3. Step 3: Cross multiply
    2,308.86x = 3,187.44 × 1,524.24
  4. Step 4: Simplify right side
    2,308.86x = 4,858,423.55
  5. Step 5: Solve for x
    x = 4,858,423.55/2,308.86
  6. Step 6: Final answer
    x = 2,104.25

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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.