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Finding the Fourth Proportional to 2,261.40, 3,391.98 and 722.28

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Solution

The fourth proportional to 2,261.40, 3,391.98 and 722.28 is: 1,083.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261.40 : 3,391.98 = 722.28 : x
  2. Step 2: Convert to fraction form
    2,261.40/3,391.98 = 722.28/x
  3. Step 3: Cross multiply
    2,261.40x = 3,391.98 × 722.28
  4. Step 4: Simplify right side
    2,261.40x = 2,449,959.31
  5. Step 5: Solve for x
    x = 2,449,959.31/2,261.40
  6. Step 6: Final answer
    x = 1,083.38

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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.