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Finding the Fourth Proportional to 1,902.66, 2,853.98 and 978.48

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Solution

The fourth proportional to 1,902.66, 2,853.98 and 978.48 is: 1,467.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.66 : 2,853.98 = 978.48 : x
  2. Step 2: Convert to fraction form
    1,902.66/2,853.98 = 978.48/x
  3. Step 3: Cross multiply
    1,902.66x = 2,853.98 × 978.48
  4. Step 4: Simplify right side
    1,902.66x = 2,792,566.63
  5. Step 5: Solve for x
    x = 2,792,566.63/1,902.66
  6. Step 6: Final answer
    x = 1,467.71

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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.