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Finding the Fourth Proportional to 2,079.01, 3,115.77 and 844.93

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Solution

The fourth proportional to 2,079.01, 3,115.77 and 844.93 is: 1,266.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.01 : 3,115.77 = 844.93 : x
  2. Step 2: Convert to fraction form
    2,079.01/3,115.77 = 844.93/x
  3. Step 3: Cross multiply
    2,079.01x = 3,115.77 × 844.93
  4. Step 4: Simplify right side
    2,079.01x = 2,632,607.55
  5. Step 5: Solve for x
    x = 2,632,607.55/2,079.01
  6. Step 6: Final answer
    x = 1,266.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.