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Finding the Fourth Proportional to 2,170.82, 3,252.44 and 1,303.22

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Solution

The fourth proportional to 2,170.82, 3,252.44 and 1,303.22 is: 1,952.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.82 : 3,252.44 = 1,303.22 : x
  2. Step 2: Convert to fraction form
    2,170.82/3,252.44 = 1,303.22/x
  3. Step 3: Cross multiply
    2,170.82x = 3,252.44 × 1,303.22
  4. Step 4: Simplify right side
    2,170.82x = 4,238,644.86
  5. Step 5: Solve for x
    x = 4,238,644.86/2,170.82
  6. Step 6: Final answer
    x = 1,952.55

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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.