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Finding the Fourth Proportional to 2,258.72, 3,117.20 and 1,264.17

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Solution

The fourth proportional to 2,258.72, 3,117.20 and 1,264.17 is: 1,744.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.72 : 3,117.20 = 1,264.17 : x
  2. Step 2: Convert to fraction form
    2,258.72/3,117.20 = 1,264.17/x
  3. Step 3: Cross multiply
    2,258.72x = 3,117.20 × 1,264.17
  4. Step 4: Simplify right side
    2,258.72x = 3,940,670.72
  5. Step 5: Solve for x
    x = 3,940,670.72/2,258.72
  6. Step 6: Final answer
    x = 1,744.65

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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.