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Finding the Fourth Proportional to 3,262.17, 4,893.84 and 1,530.75

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Solution

The fourth proportional to 3,262.17, 4,893.84 and 1,530.75 is: 2,296.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,262.17 : 4,893.84 = 1,530.75 : x
  2. Step 2: Convert to fraction form
    3,262.17/4,893.84 = 1,530.75/x
  3. Step 3: Cross multiply
    3,262.17x = 4,893.84 × 1,530.75
  4. Step 4: Simplify right side
    3,262.17x = 7,491,245.58
  5. Step 5: Solve for x
    x = 7,491,245.58/3,262.17
  6. Step 6: Final answer
    x = 2,296.40

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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.