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Finding the Fourth Proportional to 2,424.14, 3,635.76 and 645.22

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Solution

The fourth proportional to 2,424.14, 3,635.76 and 645.22 is: 967.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.14 : 3,635.76 = 645.22 : x
  2. Step 2: Convert to fraction form
    2,424.14/3,635.76 = 645.22/x
  3. Step 3: Cross multiply
    2,424.14x = 3,635.76 × 645.22
  4. Step 4: Simplify right side
    2,424.14x = 2,345,865.07
  5. Step 5: Solve for x
    x = 2,345,865.07/2,424.14
  6. Step 6: Final answer
    x = 967.71

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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.