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Finding the Fourth Proportional to 3,099.34, 4,649.01 and 1,367.62

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Solution

The fourth proportional to 3,099.34, 4,649.01 and 1,367.62 is: 2,051.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.34 : 4,649.01 = 1,367.62 : x
  2. Step 2: Convert to fraction form
    3,099.34/4,649.01 = 1,367.62/x
  3. Step 3: Cross multiply
    3,099.34x = 4,649.01 × 1,367.62
  4. Step 4: Simplify right side
    3,099.34x = 6,358,079.06
  5. Step 5: Solve for x
    x = 6,358,079.06/3,099.34
  6. Step 6: Final answer
    x = 2,051.43

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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.