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Finding the Fourth Proportional to 3,378.98, 4,661.05 and 2,033.66

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Solution

The fourth proportional to 3,378.98, 4,661.05 and 2,033.66 is: 2,805.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.98 : 4,661.05 = 2,033.66 : x
  2. Step 2: Convert to fraction form
    3,378.98/4,661.05 = 2,033.66/x
  3. Step 3: Cross multiply
    3,378.98x = 4,661.05 × 2,033.66
  4. Step 4: Simplify right side
    3,378.98x = 9,478,957.47
  5. Step 5: Solve for x
    x = 9,478,957.47/3,378.98
  6. Step 6: Final answer
    x = 2,805.28

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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.