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Finding the Fourth Proportional to 2,258.14, 3,116.14 and 1,263.42

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Solution

The fourth proportional to 2,258.14, 3,116.14 and 1,263.42 is: 1,743.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.14 : 3,116.14 = 1,263.42 : x
  2. Step 2: Convert to fraction form
    2,258.14/3,116.14 = 1,263.42/x
  3. Step 3: Cross multiply
    2,258.14x = 3,116.14 × 1,263.42
  4. Step 4: Simplify right side
    2,258.14x = 3,936,993.60
  5. Step 5: Solve for x
    x = 3,936,993.60/2,258.14
  6. Step 6: Final answer
    x = 1,743.47

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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.