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Finding the Fourth Proportional to 2,266.46, 3,127.89 and 1,258.26

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Solution

The fourth proportional to 2,266.46, 3,127.89 and 1,258.26 is: 1,736.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.46 : 3,127.89 = 1,258.26 : x
  2. Step 2: Convert to fraction form
    2,266.46/3,127.89 = 1,258.26/x
  3. Step 3: Cross multiply
    2,266.46x = 3,127.89 × 1,258.26
  4. Step 4: Simplify right side
    2,266.46x = 3,935,697.12
  5. Step 5: Solve for x
    x = 3,935,697.12/2,266.46
  6. Step 6: Final answer
    x = 1,736.50

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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.