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Finding the Fourth Proportional to 3,304.50, 4,560.22 and 1,978.26

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Solution

The fourth proportional to 3,304.50, 4,560.22 and 1,978.26 is: 2,730.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,304.50 : 4,560.22 = 1,978.26 : x
  2. Step 2: Convert to fraction form
    3,304.50/4,560.22 = 1,978.26/x
  3. Step 3: Cross multiply
    3,304.50x = 4,560.22 × 1,978.26
  4. Step 4: Simplify right side
    3,304.50x = 9,021,300.82
  5. Step 5: Solve for x
    x = 9,021,300.82/3,304.50
  6. Step 6: Final answer
    x = 2,730.00

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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.