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Finding the Fourth Proportional to 2,443.75, 3,665.61 and 594.84

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Solution

The fourth proportional to 2,443.75, 3,665.61 and 594.84 is: 892.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.75 : 3,665.61 = 594.84 : x
  2. Step 2: Convert to fraction form
    2,443.75/3,665.61 = 594.84/x
  3. Step 3: Cross multiply
    2,443.75x = 3,665.61 × 594.84
  4. Step 4: Simplify right side
    2,443.75x = 2,180,452.94
  5. Step 5: Solve for x
    x = 2,180,452.94/2,443.75
  6. Step 6: Final answer
    x = 892.26

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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.