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Finding the Fourth Proportional to 2,859.48, 3,945.24 and 2,020.32

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Solution

The fourth proportional to 2,859.48, 3,945.24 and 2,020.32 is: 2,787.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.48 : 3,945.24 = 2,020.32 : x
  2. Step 2: Convert to fraction form
    2,859.48/3,945.24 = 2,020.32/x
  3. Step 3: Cross multiply
    2,859.48x = 3,945.24 × 2,020.32
  4. Step 4: Simplify right side
    2,859.48x = 7,970,647.28
  5. Step 5: Solve for x
    x = 7,970,647.28/2,859.48
  6. Step 6: Final answer
    x = 2,787.45

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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.