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Finding the Fourth Proportional to 3,164.79, 4,727.45 and 2,344.66

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Solution

The fourth proportional to 3,164.79, 4,727.45 and 2,344.66 is: 3,502.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.79 : 4,727.45 = 2,344.66 : x
  2. Step 2: Convert to fraction form
    3,164.79/4,727.45 = 2,344.66/x
  3. Step 3: Cross multiply
    3,164.79x = 4,727.45 × 2,344.66
  4. Step 4: Simplify right side
    3,164.79x = 11,084,265.90
  5. Step 5: Solve for x
    x = 11,084,265.90/3,164.79
  6. Step 6: Final answer
    x = 3,502.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.