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Finding the Fourth Proportional to 3,164.04, 4,744.02 and 1,316.43

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Solution

The fourth proportional to 3,164.04, 4,744.02 and 1,316.43 is: 1,973.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.04 : 4,744.02 = 1,316.43 : x
  2. Step 2: Convert to fraction form
    3,164.04/4,744.02 = 1,316.43/x
  3. Step 3: Cross multiply
    3,164.04x = 4,744.02 × 1,316.43
  4. Step 4: Simplify right side
    3,164.04x = 6,245,170.25
  5. Step 5: Solve for x
    x = 6,245,170.25/3,164.04
  6. Step 6: Final answer
    x = 1,973.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.