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Finding the Fourth Proportional to 3,091.62, 4,630.95 and 2,258.13

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Solution

The fourth proportional to 3,091.62, 4,630.95 and 2,258.13 is: 3,382.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.62 : 4,630.95 = 2,258.13 : x
  2. Step 2: Convert to fraction form
    3,091.62/4,630.95 = 2,258.13/x
  3. Step 3: Cross multiply
    3,091.62x = 4,630.95 × 2,258.13
  4. Step 4: Simplify right side
    3,091.62x = 10,457,287.12
  5. Step 5: Solve for x
    x = 10,457,287.12/3,091.62
  6. Step 6: Final answer
    x = 3,382.46

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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.