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Finding the Fourth Proportional to 2,443.75, 3,665.57 and 594.88

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Solution

The fourth proportional to 2,443.75, 3,665.57 and 594.88 is: 892.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.75 : 3,665.57 = 594.88 : x
  2. Step 2: Convert to fraction form
    2,443.75/3,665.57 = 594.88/x
  3. Step 3: Cross multiply
    2,443.75x = 3,665.57 × 594.88
  4. Step 4: Simplify right side
    2,443.75x = 2,180,562.14
  5. Step 5: Solve for x
    x = 2,180,562.14/2,443.75
  6. Step 6: Final answer
    x = 892.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.