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Finding the Fourth Proportional to 2,439.28, 3,658.85 and 978.04

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Solution

The fourth proportional to 2,439.28, 3,658.85 and 978.04 is: 1,467.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,439.28 : 3,658.85 = 978.04 : x
  2. Step 2: Convert to fraction form
    2,439.28/3,658.85 = 978.04/x
  3. Step 3: Cross multiply
    2,439.28x = 3,658.85 × 978.04
  4. Step 4: Simplify right side
    2,439.28x = 3,578,501.65
  5. Step 5: Solve for x
    x = 3,578,501.65/2,439.28
  6. Step 6: Final answer
    x = 1,467.03

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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.