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Finding the Fourth Proportional to 1,827.28, 2,740.74 and 594.64

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Solution

The fourth proportional to 1,827.28, 2,740.74 and 594.64 is: 891.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.28 : 2,740.74 = 594.64 : x
  2. Step 2: Convert to fraction form
    1,827.28/2,740.74 = 594.64/x
  3. Step 3: Cross multiply
    1,827.28x = 2,740.74 × 594.64
  4. Step 4: Simplify right side
    1,827.28x = 1,629,753.63
  5. Step 5: Solve for x
    x = 1,629,753.63/1,827.28
  6. Step 6: Final answer
    x = 891.90

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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.