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Finding the Fourth Proportional to 2,266.50, 3,127.62 and 1,258.20

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Solution

The fourth proportional to 2,266.50, 3,127.62 and 1,258.20 is: 1,736.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.50 : 3,127.62 = 1,258.20 : x
  2. Step 2: Convert to fraction form
    2,266.50/3,127.62 = 1,258.20/x
  3. Step 3: Cross multiply
    2,266.50x = 3,127.62 × 1,258.20
  4. Step 4: Simplify right side
    2,266.50x = 3,935,171.48
  5. Step 5: Solve for x
    x = 3,935,171.48/2,266.50
  6. Step 6: Final answer
    x = 1,736.23

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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.