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Finding the Fourth Proportional to 2,856.67, 4,283.89 and 1,213.28

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Solution

The fourth proportional to 2,856.67, 4,283.89 and 1,213.28 is: 1,819.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.67 : 4,283.89 = 1,213.28 : x
  2. Step 2: Convert to fraction form
    2,856.67/4,283.89 = 1,213.28/x
  3. Step 3: Cross multiply
    2,856.67x = 4,283.89 × 1,213.28
  4. Step 4: Simplify right side
    2,856.67x = 5,197,549.67
  5. Step 5: Solve for x
    x = 5,197,549.67/2,856.67
  6. Step 6: Final answer
    x = 1,819.45

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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.