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Finding the Fourth Proportional to 1,351.85, 2,025.74 and 1,214.15

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Solution

The fourth proportional to 1,351.85, 2,025.74 and 1,214.15 is: 1,819.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.85 : 2,025.74 = 1,214.15 : x
  2. Step 2: Convert to fraction form
    1,351.85/2,025.74 = 1,214.15/x
  3. Step 3: Cross multiply
    1,351.85x = 2,025.74 × 1,214.15
  4. Step 4: Simplify right side
    1,351.85x = 2,459,545.13
  5. Step 5: Solve for x
    x = 2,459,545.13/1,351.85
  6. Step 6: Final answer
    x = 1,819.40

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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.