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Finding the Fourth Proportional to 3,107.49, 4,661.41 and 1,258.56

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Solution

The fourth proportional to 3,107.49, 4,661.41 and 1,258.56 is: 1,887.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.49 : 4,661.41 = 1,258.56 : x
  2. Step 2: Convert to fraction form
    3,107.49/4,661.41 = 1,258.56/x
  3. Step 3: Cross multiply
    3,107.49x = 4,661.41 × 1,258.56
  4. Step 4: Simplify right side
    3,107.49x = 5,866,664.17
  5. Step 5: Solve for x
    x = 5,866,664.17/3,107.49
  6. Step 6: Final answer
    x = 1,887.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.