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Finding the Fourth Proportional to 2,859.12, 3,945.72 and 2,159.28

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Solution

The fourth proportional to 2,859.12, 3,945.72 and 2,159.28 is: 2,979.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.12 : 3,945.72 = 2,159.28 : x
  2. Step 2: Convert to fraction form
    2,859.12/3,945.72 = 2,159.28/x
  3. Step 3: Cross multiply
    2,859.12x = 3,945.72 × 2,159.28
  4. Step 4: Simplify right side
    2,859.12x = 8,519,914.28
  5. Step 5: Solve for x
    x = 8,519,914.28/2,859.12
  6. Step 6: Final answer
    x = 2,979.91

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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.