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Finding the Fourth Proportional to 1,741.12, 2,402.81 and 1,033.33

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Solution

The fourth proportional to 1,741.12, 2,402.81 and 1,033.33 is: 1,426.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.12 : 2,402.81 = 1,033.33 : x
  2. Step 2: Convert to fraction form
    1,741.12/2,402.81 = 1,033.33/x
  3. Step 3: Cross multiply
    1,741.12x = 2,402.81 × 1,033.33
  4. Step 4: Simplify right side
    1,741.12x = 2,482,895.66
  5. Step 5: Solve for x
    x = 2,482,895.66/1,741.12
  6. Step 6: Final answer
    x = 1,426.03

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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.