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Finding the Fourth Proportional to 1,451.96, 2,003.74 and 822.49

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Solution

The fourth proportional to 1,451.96, 2,003.74 and 822.49 is: 1,135.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.96 : 2,003.74 = 822.49 : x
  2. Step 2: Convert to fraction form
    1,451.96/2,003.74 = 822.49/x
  3. Step 3: Cross multiply
    1,451.96x = 2,003.74 × 822.49
  4. Step 4: Simplify right side
    1,451.96x = 1,648,041.98
  5. Step 5: Solve for x
    x = 1,648,041.98/1,451.96
  6. Step 6: Final answer
    x = 1,135.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.