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Finding the Fourth Proportional to 3,009.30, 4,514.22 and 817.98

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Solution

The fourth proportional to 3,009.30, 4,514.22 and 817.98 is: 1,227.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.30 : 4,514.22 = 817.98 : x
  2. Step 2: Convert to fraction form
    3,009.30/4,514.22 = 817.98/x
  3. Step 3: Cross multiply
    3,009.30x = 4,514.22 × 817.98
  4. Step 4: Simplify right side
    3,009.30x = 3,692,541.68
  5. Step 5: Solve for x
    x = 3,692,541.68/3,009.30
  6. Step 6: Final answer
    x = 1,227.04

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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.