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Finding the Fourth Proportional to 3,262.25, 4,501.91 and 1,865.03

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Solution

The fourth proportional to 3,262.25, 4,501.91 and 1,865.03 is: 2,573.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,262.25 : 4,501.91 = 1,865.03 : x
  2. Step 2: Convert to fraction form
    3,262.25/4,501.91 = 1,865.03/x
  3. Step 3: Cross multiply
    3,262.25x = 4,501.91 × 1,865.03
  4. Step 4: Simplify right side
    3,262.25x = 8,396,197.21
  5. Step 5: Solve for x
    x = 8,396,197.21/3,262.25
  6. Step 6: Final answer
    x = 2,573.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.