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Finding the Fourth Proportional to 2,752.91, 4,129.40 and 805.15

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Solution

The fourth proportional to 2,752.91, 4,129.40 and 805.15 is: 1,207.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.91 : 4,129.40 = 805.15 : x
  2. Step 2: Convert to fraction form
    2,752.91/4,129.40 = 805.15/x
  3. Step 3: Cross multiply
    2,752.91x = 4,129.40 × 805.15
  4. Step 4: Simplify right side
    2,752.91x = 3,324,786.41
  5. Step 5: Solve for x
    x = 3,324,786.41/2,752.91
  6. Step 6: Final answer
    x = 1,207.74

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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.