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Finding the Fourth Proportional to 3,066.38, 4,596.97 and 1,218.80

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Solution

The fourth proportional to 3,066.38, 4,596.97 and 1,218.80 is: 1,827.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.38 : 4,596.97 = 1,218.80 : x
  2. Step 2: Convert to fraction form
    3,066.38/4,596.97 = 1,218.80/x
  3. Step 3: Cross multiply
    3,066.38x = 4,596.97 × 1,218.80
  4. Step 4: Simplify right side
    3,066.38x = 5,602,787.04
  5. Step 5: Solve for x
    x = 5,602,787.04/3,066.38
  6. Step 6: Final answer
    x = 1,827.17

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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.