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Finding the Fourth Proportional to 2,304.67, 3,179.50 and 1,606.45

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Solution

The fourth proportional to 2,304.67, 3,179.50 and 1,606.45 is: 2,216.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.67 : 3,179.50 = 1,606.45 : x
  2. Step 2: Convert to fraction form
    2,304.67/3,179.50 = 1,606.45/x
  3. Step 3: Cross multiply
    2,304.67x = 3,179.50 × 1,606.45
  4. Step 4: Simplify right side
    2,304.67x = 5,107,707.78
  5. Step 5: Solve for x
    x = 5,107,707.78/2,304.67
  6. Step 6: Final answer
    x = 2,216.24

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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.