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Finding the Fourth Proportional to 2,224.76, 3,335.34 and 1,358.78

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Solution

The fourth proportional to 2,224.76, 3,335.34 and 1,358.78 is: 2,037.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.76 : 3,335.34 = 1,358.78 : x
  2. Step 2: Convert to fraction form
    2,224.76/3,335.34 = 1,358.78/x
  3. Step 3: Cross multiply
    2,224.76x = 3,335.34 × 1,358.78
  4. Step 4: Simplify right side
    2,224.76x = 4,531,993.29
  5. Step 5: Solve for x
    x = 4,531,993.29/2,224.76
  6. Step 6: Final answer
    x = 2,037.07

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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.