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Finding the Fourth Proportional to 3,164.41, 4,744.59 and 1,316.80

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Solution

The fourth proportional to 3,164.41, 4,744.59 and 1,316.80 is: 1,974.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.41 : 4,744.59 = 1,316.80 : x
  2. Step 2: Convert to fraction form
    3,164.41/4,744.59 = 1,316.80/x
  3. Step 3: Cross multiply
    3,164.41x = 4,744.59 × 1,316.80
  4. Step 4: Simplify right side
    3,164.41x = 6,247,676.11
  5. Step 5: Solve for x
    x = 6,247,676.11/3,164.41
  6. Step 6: Final answer
    x = 1,974.36

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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.