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Finding the Fourth Proportional to 2,856.25, 4,285.01 and 1,214.20

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Solution

The fourth proportional to 2,856.25, 4,285.01 and 1,214.20 is: 1,821.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.25 : 4,285.01 = 1,214.20 : x
  2. Step 2: Convert to fraction form
    2,856.25/4,285.01 = 1,214.20/x
  3. Step 3: Cross multiply
    2,856.25x = 4,285.01 × 1,214.20
  4. Step 4: Simplify right side
    2,856.25x = 5,202,853.07
  5. Step 5: Solve for x
    x = 5,202,853.07/2,856.25
  6. Step 6: Final answer
    x = 1,821.57

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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.