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Finding the Fourth Proportional to 1,524.67, 2,100.94 and 1,052.71

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Solution

The fourth proportional to 1,524.67, 2,100.94 and 1,052.71 is: 1,450.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.67 : 2,100.94 = 1,052.71 : x
  2. Step 2: Convert to fraction form
    1,524.67/2,100.94 = 1,052.71/x
  3. Step 3: Cross multiply
    1,524.67x = 2,100.94 × 1,052.71
  4. Step 4: Simplify right side
    1,524.67x = 2,211,680.55
  5. Step 5: Solve for x
    x = 2,211,680.55/1,524.67
  6. Step 6: Final answer
    x = 1,450.60

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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.