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Finding the Fourth Proportional to 2,864.72, 4,289.82 and 2,401.28

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Solution

The fourth proportional to 2,864.72, 4,289.82 and 2,401.28 is: 3,595.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.72 : 4,289.82 = 2,401.28 : x
  2. Step 2: Convert to fraction form
    2,864.72/4,289.82 = 2,401.28/x
  3. Step 3: Cross multiply
    2,864.72x = 4,289.82 × 2,401.28
  4. Step 4: Simplify right side
    2,864.72x = 10,301,058.97
  5. Step 5: Solve for x
    x = 10,301,058.97/2,864.72
  6. Step 6: Final answer
    x = 3,595.83

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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.