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Finding the Fourth Proportional to 2,306.16, 3,182.52 and 1,258.16

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Solution

The fourth proportional to 2,306.16, 3,182.52 and 1,258.16 is: 1,736.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.16 : 3,182.52 = 1,258.16 : x
  2. Step 2: Convert to fraction form
    2,306.16/3,182.52 = 1,258.16/x
  3. Step 3: Cross multiply
    2,306.16x = 3,182.52 × 1,258.16
  4. Step 4: Simplify right side
    2,306.16x = 4,004,119.36
  5. Step 5: Solve for x
    x = 4,004,119.36/2,306.16
  6. Step 6: Final answer
    x = 1,736.27

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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.