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Finding the Fourth Proportional to 2,428.08, 3,640.37 and 783.69

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Solution

The fourth proportional to 2,428.08, 3,640.37 and 783.69 is: 1,174.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.08 : 3,640.37 = 783.69 : x
  2. Step 2: Convert to fraction form
    2,428.08/3,640.37 = 783.69/x
  3. Step 3: Cross multiply
    2,428.08x = 3,640.37 × 783.69
  4. Step 4: Simplify right side
    2,428.08x = 2,852,917.65
  5. Step 5: Solve for x
    x = 2,852,917.65/2,428.08
  6. Step 6: Final answer
    x = 1,174.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.