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Finding the Fourth Proportional to 2,207.72, 3,305.12 and 1,719.28

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Solution

The fourth proportional to 2,207.72, 3,305.12 and 1,719.28 is: 2,573.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.72 : 3,305.12 = 1,719.28 : x
  2. Step 2: Convert to fraction form
    2,207.72/3,305.12 = 1,719.28/x
  3. Step 3: Cross multiply
    2,207.72x = 3,305.12 × 1,719.28
  4. Step 4: Simplify right side
    2,207.72x = 5,682,426.71
  5. Step 5: Solve for x
    x = 5,682,426.71/2,207.72
  6. Step 6: Final answer
    x = 2,573.89

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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.