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Finding the Fourth Proportional to 2,304.79, 3,184.78 and 1,640.49

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Solution

The fourth proportional to 2,304.79, 3,184.78 and 1,640.49 is: 2,266.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.79 : 3,184.78 = 1,640.49 : x
  2. Step 2: Convert to fraction form
    2,304.79/3,184.78 = 1,640.49/x
  3. Step 3: Cross multiply
    2,304.79x = 3,184.78 × 1,640.49
  4. Step 4: Simplify right side
    2,304.79x = 5,224,575.62
  5. Step 5: Solve for x
    x = 5,224,575.62/2,304.79
  6. Step 6: Final answer
    x = 2,266.84

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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.