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Finding the Fourth Proportional to 2,306.61, 3,183.15 and 1,258.67

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Solution

The fourth proportional to 2,306.61, 3,183.15 and 1,258.67 is: 1,736.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.61 : 3,183.15 = 1,258.67 : x
  2. Step 2: Convert to fraction form
    2,306.61/3,183.15 = 1,258.67/x
  3. Step 3: Cross multiply
    2,306.61x = 3,183.15 × 1,258.67
  4. Step 4: Simplify right side
    2,306.61x = 4,006,535.41
  5. Step 5: Solve for x
    x = 4,006,535.41/2,306.61
  6. Step 6: Final answer
    x = 1,736.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.