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Finding the Fourth Proportional to 2,935.65, 4,403.19 and 1,204.14

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Solution

The fourth proportional to 2,935.65, 4,403.19 and 1,204.14 is: 1,806.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,935.65 : 4,403.19 = 1,204.14 : x
  2. Step 2: Convert to fraction form
    2,935.65/4,403.19 = 1,204.14/x
  3. Step 3: Cross multiply
    2,935.65x = 4,403.19 × 1,204.14
  4. Step 4: Simplify right side
    2,935.65x = 5,302,057.21
  5. Step 5: Solve for x
    x = 5,302,057.21/2,935.65
  6. Step 6: Final answer
    x = 1,806.09

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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.