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Finding the Fourth Proportional to 2,258.89, 3,117.18 and 1,264.21

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Solution

The fourth proportional to 2,258.89, 3,117.18 and 1,264.21 is: 1,744.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.89 : 3,117.18 = 1,264.21 : x
  2. Step 2: Convert to fraction form
    2,258.89/3,117.18 = 1,264.21/x
  3. Step 3: Cross multiply
    2,258.89x = 3,117.18 × 1,264.21
  4. Step 4: Simplify right side
    2,258.89x = 3,940,767.08
  5. Step 5: Solve for x
    x = 3,940,767.08/2,258.89
  6. Step 6: Final answer
    x = 1,744.56

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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.