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Finding the Fourth Proportional to 1,741.83, 2,403.20 and 1,033.80

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Solution

The fourth proportional to 1,741.83, 2,403.20 and 1,033.80 is: 1,426.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.83 : 2,403.20 = 1,033.80 : x
  2. Step 2: Convert to fraction form
    1,741.83/2,403.20 = 1,033.80/x
  3. Step 3: Cross multiply
    1,741.83x = 2,403.20 × 1,033.80
  4. Step 4: Simplify right side
    1,741.83x = 2,484,428.16
  5. Step 5: Solve for x
    x = 2,484,428.16/1,741.83
  6. Step 6: Final answer
    x = 1,426.33

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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.