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Finding the Fourth Proportional to 2,420.72, 3,630.78 and 665.85

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Solution

The fourth proportional to 2,420.72, 3,630.78 and 665.85 is: 998.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.72 : 3,630.78 = 665.85 : x
  2. Step 2: Convert to fraction form
    2,420.72/3,630.78 = 665.85/x
  3. Step 3: Cross multiply
    2,420.72x = 3,630.78 × 665.85
  4. Step 4: Simplify right side
    2,420.72x = 2,417,554.86
  5. Step 5: Solve for x
    x = 2,417,554.86/2,420.72
  6. Step 6: Final answer
    x = 998.69

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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.