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Finding the Fourth Proportional to 2,759.12, 4,138.44 and 910.28

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Solution

The fourth proportional to 2,759.12, 4,138.44 and 910.28 is: 1,365.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.12 : 4,138.44 = 910.28 : x
  2. Step 2: Convert to fraction form
    2,759.12/4,138.44 = 910.28/x
  3. Step 3: Cross multiply
    2,759.12x = 4,138.44 × 910.28
  4. Step 4: Simplify right side
    2,759.12x = 3,767,139.16
  5. Step 5: Solve for x
    x = 3,767,139.16/2,759.12
  6. Step 6: Final answer
    x = 1,365.34

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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.