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Finding the Fourth Proportional to 1,827.64, 2,741.78 and 594.92

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Solution

The fourth proportional to 1,827.64, 2,741.78 and 594.92 is: 892.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.64 : 2,741.78 = 594.92 : x
  2. Step 2: Convert to fraction form
    1,827.64/2,741.78 = 594.92/x
  3. Step 3: Cross multiply
    1,827.64x = 2,741.78 × 594.92
  4. Step 4: Simplify right side
    1,827.64x = 1,631,139.76
  5. Step 5: Solve for x
    x = 1,631,139.76/1,827.64
  6. Step 6: Final answer
    x = 892.48

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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.