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Finding the Fourth Proportional to 3,243.48, 4,866.72 and 1,164.34

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Solution

The fourth proportional to 3,243.48, 4,866.72 and 1,164.34 is: 1,747.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.48 : 4,866.72 = 1,164.34 : x
  2. Step 2: Convert to fraction form
    3,243.48/4,866.72 = 1,164.34/x
  3. Step 3: Cross multiply
    3,243.48x = 4,866.72 × 1,164.34
  4. Step 4: Simplify right side
    3,243.48x = 5,666,516.76
  5. Step 5: Solve for x
    x = 5,666,516.76/3,243.48
  6. Step 6: Final answer
    x = 1,747.05

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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.