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Finding the Fourth Proportional to 2,518.76, 3,778.46 and 978.92

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Solution

The fourth proportional to 2,518.76, 3,778.46 and 978.92 is: 1,468.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,518.76 : 3,778.46 = 978.92 : x
  2. Step 2: Convert to fraction form
    2,518.76/3,778.46 = 978.92/x
  3. Step 3: Cross multiply
    2,518.76x = 3,778.46 × 978.92
  4. Step 4: Simplify right side
    2,518.76x = 3,698,810.06
  5. Step 5: Solve for x
    x = 3,698,810.06/2,518.76
  6. Step 6: Final answer
    x = 1,468.50

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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.