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Finding the Fourth Proportional to 2,306.60, 3,183.16 and 1,258.68

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Solution

The fourth proportional to 2,306.60, 3,183.16 and 1,258.68 is: 1,737.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.60 : 3,183.16 = 1,258.68 : x
  2. Step 2: Convert to fraction form
    2,306.60/3,183.16 = 1,258.68/x
  3. Step 3: Cross multiply
    2,306.60x = 3,183.16 × 1,258.68
  4. Step 4: Simplify right side
    2,306.60x = 4,006,579.83
  5. Step 5: Solve for x
    x = 4,006,579.83/2,306.60
  6. Step 6: Final answer
    x = 1,737.01

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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.