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Finding the Fourth Proportional to 3,164.37, 4,366.81 and 1,748.15

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Solution

The fourth proportional to 3,164.37, 4,366.81 and 1,748.15 is: 2,412.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.37 : 4,366.81 = 1,748.15 : x
  2. Step 2: Convert to fraction form
    3,164.37/4,366.81 = 1,748.15/x
  3. Step 3: Cross multiply
    3,164.37x = 4,366.81 × 1,748.15
  4. Step 4: Simplify right side
    3,164.37x = 7,633,830.16
  5. Step 5: Solve for x
    x = 7,633,830.16/3,164.37
  6. Step 6: Final answer
    x = 2,412.43

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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.