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Finding the Fourth Proportional to 1,827.57, 2,741.67 and 594.84

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Solution

The fourth proportional to 1,827.57, 2,741.67 and 594.84 is: 892.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.57 : 2,741.67 = 594.84 : x
  2. Step 2: Convert to fraction form
    1,827.57/2,741.67 = 594.84/x
  3. Step 3: Cross multiply
    1,827.57x = 2,741.67 × 594.84
  4. Step 4: Simplify right side
    1,827.57x = 1,630,854.98
  5. Step 5: Solve for x
    x = 1,630,854.98/1,827.57
  6. Step 6: Final answer
    x = 892.36

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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.