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Finding the Fourth Proportional to 3,243.32, 4,866.24 and 1,296.08

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Solution

The fourth proportional to 3,243.32, 4,866.24 and 1,296.08 is: 1,944.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.32 : 4,866.24 = 1,296.08 : x
  2. Step 2: Convert to fraction form
    3,243.32/4,866.24 = 1,296.08/x
  3. Step 3: Cross multiply
    3,243.32x = 4,866.24 × 1,296.08
  4. Step 4: Simplify right side
    3,243.32x = 6,307,036.34
  5. Step 5: Solve for x
    x = 6,307,036.34/3,243.32
  6. Step 6: Final answer
    x = 1,944.62

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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.