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Finding the Fourth Proportional to 2,420.09, 3,630.14 and 665.10

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Solution

The fourth proportional to 2,420.09, 3,630.14 and 665.10 is: 997.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.09 : 3,630.14 = 665.10 : x
  2. Step 2: Convert to fraction form
    2,420.09/3,630.14 = 665.10/x
  3. Step 3: Cross multiply
    2,420.09x = 3,630.14 × 665.10
  4. Step 4: Simplify right side
    2,420.09x = 2,414,406.11
  5. Step 5: Solve for x
    x = 2,414,406.11/2,420.09
  6. Step 6: Final answer
    x = 997.65

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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.