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Finding the Fourth Proportional to 3,262.44, 4,891.34 and 1,530.12

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Solution

The fourth proportional to 3,262.44, 4,891.34 and 1,530.12 is: 2,294.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,262.44 : 4,891.34 = 1,530.12 : x
  2. Step 2: Convert to fraction form
    3,262.44/4,891.34 = 1,530.12/x
  3. Step 3: Cross multiply
    3,262.44x = 4,891.34 × 1,530.12
  4. Step 4: Simplify right side
    3,262.44x = 7,484,337.16
  5. Step 5: Solve for x
    x = 7,484,337.16/3,262.44
  6. Step 6: Final answer
    x = 2,294.09

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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.