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Finding the Fourth Proportional to 2,223.79, 3,331.77 and 1,982.47

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Solution

The fourth proportional to 2,223.79, 3,331.77 and 1,982.47 is: 2,970.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.79 : 3,331.77 = 1,982.47 : x
  2. Step 2: Convert to fraction form
    2,223.79/3,331.77 = 1,982.47/x
  3. Step 3: Cross multiply
    2,223.79x = 3,331.77 × 1,982.47
  4. Step 4: Simplify right side
    2,223.79x = 6,605,134.07
  5. Step 5: Solve for x
    x = 6,605,134.07/2,223.79
  6. Step 6: Final answer
    x = 2,970.21

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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.