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Finding the Fourth Proportional to 3,064.70, 4,223.54 and 2,178.97

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Solution

The fourth proportional to 3,064.70, 4,223.54 and 2,178.97 is: 3,002.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.70 : 4,223.54 = 2,178.97 : x
  2. Step 2: Convert to fraction form
    3,064.70/4,223.54 = 2,178.97/x
  3. Step 3: Cross multiply
    3,064.70x = 4,223.54 × 2,178.97
  4. Step 4: Simplify right side
    3,064.70x = 9,202,961.84
  5. Step 5: Solve for x
    x = 9,202,961.84/3,064.70
  6. Step 6: Final answer
    x = 3,002.89

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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.