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Finding the Fourth Proportional to 2,079.20, 2,849.80 and 2,064.80

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Solution

The fourth proportional to 2,079.20, 2,849.80 and 2,064.80 is: 2,830.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.20 : 2,849.80 = 2,064.80 : x
  2. Step 2: Convert to fraction form
    2,079.20/2,849.80 = 2,064.80/x
  3. Step 3: Cross multiply
    2,079.20x = 2,849.80 × 2,064.80
  4. Step 4: Simplify right side
    2,079.20x = 5,884,267.04
  5. Step 5: Solve for x
    x = 5,884,267.04/2,079.20
  6. Step 6: Final answer
    x = 2,830.06

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.