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Finding the Fourth Proportional to 1,827.23, 2,741.18 and 594.59

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Solution

The fourth proportional to 1,827.23, 2,741.18 and 594.59 is: 891.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.23 : 2,741.18 = 594.59 : x
  2. Step 2: Convert to fraction form
    1,827.23/2,741.18 = 594.59/x
  3. Step 3: Cross multiply
    1,827.23x = 2,741.18 × 594.59
  4. Step 4: Simplify right side
    1,827.23x = 1,629,861.54
  5. Step 5: Solve for x
    x = 1,629,861.54/1,827.23
  6. Step 6: Final answer
    x = 891.99

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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.