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Finding the Fourth Proportional to 2,550.42, 3,821.10 and 1,066.37

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Solution

The fourth proportional to 2,550.42, 3,821.10 and 1,066.37 is: 1,597.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.42 : 3,821.10 = 1,066.37 : x
  2. Step 2: Convert to fraction form
    2,550.42/3,821.10 = 1,066.37/x
  3. Step 3: Cross multiply
    2,550.42x = 3,821.10 × 1,066.37
  4. Step 4: Simplify right side
    2,550.42x = 4,074,701.08
  5. Step 5: Solve for x
    x = 4,074,701.08/2,550.42
  6. Step 6: Final answer
    x = 1,597.66

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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.