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Finding the Fourth Proportional to 2,018.85, 3,029.04 and 978.80

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Solution

The fourth proportional to 2,018.85, 3,029.04 and 978.80 is: 1,468.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.85 : 3,029.04 = 978.80 : x
  2. Step 2: Convert to fraction form
    2,018.85/3,029.04 = 978.80/x
  3. Step 3: Cross multiply
    2,018.85x = 3,029.04 × 978.80
  4. Step 4: Simplify right side
    2,018.85x = 2,964,809.21
  5. Step 5: Solve for x
    x = 2,964,809.21/2,018.85
  6. Step 6: Final answer
    x = 1,468.56

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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.