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Finding the Fourth Proportional to 1,827.36, 2,740.72 and 594.59

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Solution

The fourth proportional to 1,827.36, 2,740.72 and 594.59 is: 891.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.36 : 2,740.72 = 594.59 : x
  2. Step 2: Convert to fraction form
    1,827.36/2,740.72 = 594.59/x
  3. Step 3: Cross multiply
    1,827.36x = 2,740.72 × 594.59
  4. Step 4: Simplify right side
    1,827.36x = 1,629,604.70
  5. Step 5: Solve for x
    x = 1,629,604.70/1,827.36
  6. Step 6: Final answer
    x = 891.78

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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.