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Finding the Fourth Proportional to 3,171.24, 4,755.24 and 1,526.58

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Solution

The fourth proportional to 3,171.24, 4,755.24 and 1,526.58 is: 2,289.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.24 : 4,755.24 = 1,526.58 : x
  2. Step 2: Convert to fraction form
    3,171.24/4,755.24 = 1,526.58/x
  3. Step 3: Cross multiply
    3,171.24x = 4,755.24 × 1,526.58
  4. Step 4: Simplify right side
    3,171.24x = 7,259,254.28
  5. Step 5: Solve for x
    x = 7,259,254.28/3,171.24
  6. Step 6: Final answer
    x = 2,289.09

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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.