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Finding the Fourth Proportional to 2,350.14, 3,522.10 and 1,252.14

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Solution

The fourth proportional to 2,350.14, 3,522.10 and 1,252.14 is: 1,876.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,350.14 : 3,522.10 = 1,252.14 : x
  2. Step 2: Convert to fraction form
    2,350.14/3,522.10 = 1,252.14/x
  3. Step 3: Cross multiply
    2,350.14x = 3,522.10 × 1,252.14
  4. Step 4: Simplify right side
    2,350.14x = 4,410,162.29
  5. Step 5: Solve for x
    x = 4,410,162.29/2,350.14
  6. Step 6: Final answer
    x = 1,876.55

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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.