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Finding the Fourth Proportional to 2,902.16, 4,351.98 and 1,052.84

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Solution

The fourth proportional to 2,902.16, 4,351.98 and 1,052.84 is: 1,578.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.16 : 4,351.98 = 1,052.84 : x
  2. Step 2: Convert to fraction form
    2,902.16/4,351.98 = 1,052.84/x
  3. Step 3: Cross multiply
    2,902.16x = 4,351.98 × 1,052.84
  4. Step 4: Simplify right side
    2,902.16x = 4,581,938.62
  5. Step 5: Solve for x
    x = 4,581,938.62/2,902.16
  6. Step 6: Final answer
    x = 1,578.80

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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.