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Finding the Fourth Proportional to 2,258.80, 3,117.14 and 1,264.07

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Solution

The fourth proportional to 2,258.80, 3,117.14 and 1,264.07 is: 1,744.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.80 : 3,117.14 = 1,264.07 : x
  2. Step 2: Convert to fraction form
    2,258.80/3,117.14 = 1,264.07/x
  3. Step 3: Cross multiply
    2,258.80x = 3,117.14 × 1,264.07
  4. Step 4: Simplify right side
    2,258.80x = 3,940,283.16
  5. Step 5: Solve for x
    x = 3,940,283.16/2,258.80
  6. Step 6: Final answer
    x = 1,744.41

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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.