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Finding the Fourth Proportional to 2,078.47, 3,117.84 and 779.97

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Solution

The fourth proportional to 2,078.47, 3,117.84 and 779.97 is: 1,170.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.47 : 3,117.84 = 779.97 : x
  2. Step 2: Convert to fraction form
    2,078.47/3,117.84 = 779.97/x
  3. Step 3: Cross multiply
    2,078.47x = 3,117.84 × 779.97
  4. Step 4: Simplify right side
    2,078.47x = 2,431,829.46
  5. Step 5: Solve for x
    x = 2,431,829.46/2,078.47
  6. Step 6: Final answer
    x = 1,170.01

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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.