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Finding the Fourth Proportional to 1,979.93, 2,969.63 and 519.19

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Solution

The fourth proportional to 1,979.93, 2,969.63 and 519.19 is: 778.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,979.93 : 2,969.63 = 519.19 : x
  2. Step 2: Convert to fraction form
    1,979.93/2,969.63 = 519.19/x
  3. Step 3: Cross multiply
    1,979.93x = 2,969.63 × 519.19
  4. Step 4: Simplify right side
    1,979.93x = 1,541,802.20
  5. Step 5: Solve for x
    x = 1,541,802.20/1,979.93
  6. Step 6: Final answer
    x = 778.72

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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.