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Finding the Fourth Proportional to 3,098.63, 4,649.09 and 1,433.56

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Solution

The fourth proportional to 3,098.63, 4,649.09 and 1,433.56 is: 2,150.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.63 : 4,649.09 = 1,433.56 : x
  2. Step 2: Convert to fraction form
    3,098.63/4,649.09 = 1,433.56/x
  3. Step 3: Cross multiply
    3,098.63x = 4,649.09 × 1,433.56
  4. Step 4: Simplify right side
    3,098.63x = 6,664,742.29
  5. Step 5: Solve for x
    x = 6,664,742.29/3,098.63
  6. Step 6: Final answer
    x = 2,150.87

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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.