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Finding the Fourth Proportional to 2,733.75, 4,100.65 and 978.84

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Solution

The fourth proportional to 2,733.75, 4,100.65 and 978.84 is: 1,468.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.75 : 4,100.65 = 978.84 : x
  2. Step 2: Convert to fraction form
    2,733.75/4,100.65 = 978.84/x
  3. Step 3: Cross multiply
    2,733.75x = 4,100.65 × 978.84
  4. Step 4: Simplify right side
    2,733.75x = 4,013,877.80
  5. Step 5: Solve for x
    x = 4,013,877.80/2,733.75
  6. Step 6: Final answer
    x = 1,468.27

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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.