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Finding the Fourth Proportional to 1,980.11, 2,969.94 and 519.38

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Solution

The fourth proportional to 1,980.11, 2,969.94 and 519.38 is: 779.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.11 : 2,969.94 = 519.38 : x
  2. Step 2: Convert to fraction form
    1,980.11/2,969.94 = 519.38/x
  3. Step 3: Cross multiply
    1,980.11x = 2,969.94 × 519.38
  4. Step 4: Simplify right side
    1,980.11x = 1,542,509.99
  5. Step 5: Solve for x
    x = 1,542,509.99/1,980.11
  6. Step 6: Final answer
    x = 779.00

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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.