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Finding the Fourth Proportional to 2,289.56, 3,439.02 and 1,510.68

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Solution

The fourth proportional to 2,289.56, 3,439.02 and 1,510.68 is: 2,269.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.56 : 3,439.02 = 1,510.68 : x
  2. Step 2: Convert to fraction form
    2,289.56/3,439.02 = 1,510.68/x
  3. Step 3: Cross multiply
    2,289.56x = 3,439.02 × 1,510.68
  4. Step 4: Simplify right side
    2,289.56x = 5,195,258.73
  5. Step 5: Solve for x
    x = 5,195,258.73/2,289.56
  6. Step 6: Final answer
    x = 2,269.11

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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.