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Finding the Fourth Proportional to 2,258.76, 3,114.03 and 1,727.94

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Solution

The fourth proportional to 2,258.76, 3,114.03 and 1,727.94 is: 2,382.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.76 : 3,114.03 = 1,727.94 : x
  2. Step 2: Convert to fraction form
    2,258.76/3,114.03 = 1,727.94/x
  3. Step 3: Cross multiply
    2,258.76x = 3,114.03 × 1,727.94
  4. Step 4: Simplify right side
    2,258.76x = 5,380,857.00
  5. Step 5: Solve for x
    x = 5,380,857.00/2,258.76
  6. Step 6: Final answer
    x = 2,382.22

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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.