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Finding the Fourth Proportional to 2,384.25, 3,575.16 and 997.21

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Solution

The fourth proportional to 2,384.25, 3,575.16 and 997.21 is: 1,495.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.25 : 3,575.16 = 997.21 : x
  2. Step 2: Convert to fraction form
    2,384.25/3,575.16 = 997.21/x
  3. Step 3: Cross multiply
    2,384.25x = 3,575.16 × 997.21
  4. Step 4: Simplify right side
    2,384.25x = 3,565,185.30
  5. Step 5: Solve for x
    x = 3,565,185.30/2,384.25
  6. Step 6: Final answer
    x = 1,495.31

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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.