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Finding the Fourth Proportional to 3,168.42, 4,748.67 and 1,524.53

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Solution

The fourth proportional to 3,168.42, 4,748.67 and 1,524.53 is: 2,284.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,168.42 : 4,748.67 = 1,524.53 : x
  2. Step 2: Convert to fraction form
    3,168.42/4,748.67 = 1,524.53/x
  3. Step 3: Cross multiply
    3,168.42x = 4,748.67 × 1,524.53
  4. Step 4: Simplify right side
    3,168.42x = 7,239,466.13
  5. Step 5: Solve for x
    x = 7,239,466.13/3,168.42
  6. Step 6: Final answer
    x = 2,284.88

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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.