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Finding the Fourth Proportional to 4,424.34, 6,636.24 and 1,649.94

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Solution

The fourth proportional to 4,424.34, 6,636.24 and 1,649.94 is: 2,474.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,424.34 : 6,636.24 = 1,649.94 : x
  2. Step 2: Convert to fraction form
    4,424.34/6,636.24 = 1,649.94/x
  3. Step 3: Cross multiply
    4,424.34x = 6,636.24 × 1,649.94
  4. Step 4: Simplify right side
    4,424.34x = 10,949,397.83
  5. Step 5: Solve for x
    x = 10,949,397.83/4,424.34
  6. Step 6: Final answer
    x = 2,474.81

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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.