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Finding the Fourth Proportional to 2,054.57, 3,083.20 and 1,505.07

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Solution

The fourth proportional to 2,054.57, 3,083.20 and 1,505.07 is: 2,258.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.57 : 3,083.20 = 1,505.07 : x
  2. Step 2: Convert to fraction form
    2,054.57/3,083.20 = 1,505.07/x
  3. Step 3: Cross multiply
    2,054.57x = 3,083.20 × 1,505.07
  4. Step 4: Simplify right side
    2,054.57x = 4,640,428.06
  5. Step 5: Solve for x
    x = 4,640,428.06/2,054.57
  6. Step 6: Final answer
    x = 2,258.59

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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.