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Finding the Fourth Proportional to 3,175.45, 4,765.15 and 1,532.17

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Solution

The fourth proportional to 3,175.45, 4,765.15 and 1,532.17 is: 2,299.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.45 : 4,765.15 = 1,532.17 : x
  2. Step 2: Convert to fraction form
    3,175.45/4,765.15 = 1,532.17/x
  3. Step 3: Cross multiply
    3,175.45x = 4,765.15 × 1,532.17
  4. Step 4: Simplify right side
    3,175.45x = 7,301,019.88
  5. Step 5: Solve for x
    x = 7,301,019.88/3,175.45
  6. Step 6: Final answer
    x = 2,299.21

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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.