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Finding the Fourth Proportional to 3,009.20, 4,514.06 and 817.95

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Solution

The fourth proportional to 3,009.20, 4,514.06 and 817.95 is: 1,226.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.20 : 4,514.06 = 817.95 : x
  2. Step 2: Convert to fraction form
    3,009.20/4,514.06 = 817.95/x
  3. Step 3: Cross multiply
    3,009.20x = 4,514.06 × 817.95
  4. Step 4: Simplify right side
    3,009.20x = 3,692,271.29
  5. Step 5: Solve for x
    x = 3,692,271.29/3,009.20
  6. Step 6: Final answer
    x = 1,226.99

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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.