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Finding the Fourth Proportional to 2,719.80, 4,078.62 and 988.02

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Solution

The fourth proportional to 2,719.80, 4,078.62 and 988.02 is: 1,481.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,719.80 : 4,078.62 = 988.02 : x
  2. Step 2: Convert to fraction form
    2,719.80/4,078.62 = 988.02/x
  3. Step 3: Cross multiply
    2,719.80x = 4,078.62 × 988.02
  4. Step 4: Simplify right side
    2,719.80x = 4,029,758.13
  5. Step 5: Solve for x
    x = 4,029,758.13/2,719.80
  6. Step 6: Final answer
    x = 1,481.64

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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.