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Finding the Fourth Proportional to 2,856.07, 4,285.03 and 1,214

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Solution

The fourth proportional to 2,856.07, 4,285.03 and 1,214 is: 1,821.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.07 : 4,285.03 = 1,214 : x
  2. Step 2: Convert to fraction form
    2,856.07/4,285.03 = 1,214/x
  3. Step 3: Cross multiply
    2,856.07x = 4,285.03 × 1,214
  4. Step 4: Simplify right side
    2,856.07x = 5,202,026.42
  5. Step 5: Solve for x
    x = 5,202,026.42/2,856.07
  6. Step 6: Final answer
    x = 1,821.39

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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.