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Finding the Fourth Proportional to 3,049.84, 4,204.47 and 2,165.32

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Solution

The fourth proportional to 3,049.84, 4,204.47 and 2,165.32 is: 2,985.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.84 : 4,204.47 = 2,165.32 : x
  2. Step 2: Convert to fraction form
    3,049.84/4,204.47 = 2,165.32/x
  3. Step 3: Cross multiply
    3,049.84x = 4,204.47 × 2,165.32
  4. Step 4: Simplify right side
    3,049.84x = 9,104,022.98
  5. Step 5: Solve for x
    x = 9,104,022.98/3,049.84
  6. Step 6: Final answer
    x = 2,985.08

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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.