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Finding the Fourth Proportional to 3,164.50, 4,367.07 and 1,748.18

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Solution

The fourth proportional to 3,164.50, 4,367.07 and 1,748.18 is: 2,412.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.50 : 4,367.07 = 1,748.18 : x
  2. Step 2: Convert to fraction form
    3,164.50/4,367.07 = 1,748.18/x
  3. Step 3: Cross multiply
    3,164.50x = 4,367.07 × 1,748.18
  4. Step 4: Simplify right side
    3,164.50x = 7,634,435.35
  5. Step 5: Solve for x
    x = 7,634,435.35/3,164.50
  6. Step 6: Final answer
    x = 2,412.53

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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.