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Finding the Fourth Proportional to 1,550.09, 2,322.77 and 933.09

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Solution

The fourth proportional to 1,550.09, 2,322.77 and 933.09 is: 1,398.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.09 : 2,322.77 = 933.09 : x
  2. Step 2: Convert to fraction form
    1,550.09/2,322.77 = 933.09/x
  3. Step 3: Cross multiply
    1,550.09x = 2,322.77 × 933.09
  4. Step 4: Simplify right side
    1,550.09x = 2,167,348.79
  5. Step 5: Solve for x
    x = 2,167,348.79/1,550.09
  6. Step 6: Final answer
    x = 1,398.21

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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.