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Finding the Fourth Proportional to 1,980.06, 2,970.12 and 519.36

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Solution

The fourth proportional to 1,980.06, 2,970.12 and 519.36 is: 779.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.06 : 2,970.12 = 519.36 : x
  2. Step 2: Convert to fraction form
    1,980.06/2,970.12 = 519.36/x
  3. Step 3: Cross multiply
    1,980.06x = 2,970.12 × 519.36
  4. Step 4: Simplify right side
    1,980.06x = 1,542,561.52
  5. Step 5: Solve for x
    x = 1,542,561.52/1,980.06
  6. Step 6: Final answer
    x = 779.05

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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.