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Finding the Fourth Proportional to 2,250.16, 3,375.64 and 1,018.14

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Solution

The fourth proportional to 2,250.16, 3,375.64 and 1,018.14 is: 1,527.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,250.16 : 3,375.64 = 1,018.14 : x
  2. Step 2: Convert to fraction form
    2,250.16/3,375.64 = 1,018.14/x
  3. Step 3: Cross multiply
    2,250.16x = 3,375.64 × 1,018.14
  4. Step 4: Simplify right side
    2,250.16x = 3,436,874.11
  5. Step 5: Solve for x
    x = 3,436,874.11/2,250.16
  6. Step 6: Final answer
    x = 1,527.39

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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.