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Finding the Fourth Proportional to 3,244.68, 4,866.48 and 1,296.36

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Solution

The fourth proportional to 3,244.68, 4,866.48 and 1,296.36 is: 1,944.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,244.68 : 4,866.48 = 1,296.36 : x
  2. Step 2: Convert to fraction form
    3,244.68/4,866.48 = 1,296.36/x
  3. Step 3: Cross multiply
    3,244.68x = 4,866.48 × 1,296.36
  4. Step 4: Simplify right side
    3,244.68x = 6,308,710.01
  5. Step 5: Solve for x
    x = 6,308,710.01/3,244.68
  6. Step 6: Final answer
    x = 1,944.32

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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.