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Finding the Fourth Proportional to 2,944.49, 4,407.12 and 2,164.29

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Solution

The fourth proportional to 2,944.49, 4,407.12 and 2,164.29 is: 3,239.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.49 : 4,407.12 = 2,164.29 : x
  2. Step 2: Convert to fraction form
    2,944.49/4,407.12 = 2,164.29/x
  3. Step 3: Cross multiply
    2,944.49x = 4,407.12 × 2,164.29
  4. Step 4: Simplify right side
    2,944.49x = 9,538,263.71
  5. Step 5: Solve for x
    x = 9,538,263.71/2,944.49
  6. Step 6: Final answer
    x = 3,239.36

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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.