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Finding the Fourth Proportional to 3,049.97, 4,204.64 and 2,165.45

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Solution

The fourth proportional to 3,049.97, 4,204.64 and 2,165.45 is: 2,985.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.97 : 4,204.64 = 2,165.45 : x
  2. Step 2: Convert to fraction form
    3,049.97/4,204.64 = 2,165.45/x
  3. Step 3: Cross multiply
    3,049.97x = 4,204.64 × 2,165.45
  4. Step 4: Simplify right side
    3,049.97x = 9,104,905.84
  5. Step 5: Solve for x
    x = 9,104,905.84/3,049.97
  6. Step 6: Final answer
    x = 2,985.25

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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.