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Finding the Fourth Proportional to 2,827.87, 4,241.50 and 978.84

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Solution

The fourth proportional to 2,827.87, 4,241.50 and 978.84 is: 1,468.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.87 : 4,241.50 = 978.84 : x
  2. Step 2: Convert to fraction form
    2,827.87/4,241.50 = 978.84/x
  3. Step 3: Cross multiply
    2,827.87x = 4,241.50 × 978.84
  4. Step 4: Simplify right side
    2,827.87x = 4,151,747.41
  5. Step 5: Solve for x
    x = 4,151,747.41/2,827.87
  6. Step 6: Final answer
    x = 1,468.15

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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.