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Finding the Fourth Proportional to 2,018.86, 3,029.18 and 979.66

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Solution

The fourth proportional to 2,018.86, 3,029.18 and 979.66 is: 1,469.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.86 : 3,029.18 = 979.66 : x
  2. Step 2: Convert to fraction form
    2,018.86/3,029.18 = 979.66/x
  3. Step 3: Cross multiply
    2,018.86x = 3,029.18 × 979.66
  4. Step 4: Simplify right side
    2,018.86x = 2,967,566.48
  5. Step 5: Solve for x
    x = 2,967,566.48/2,018.86
  6. Step 6: Final answer
    x = 1,469.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.