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Finding the Fourth Proportional to 3,066.41, 4,599.99 and 1,399.83

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Solution

The fourth proportional to 3,066.41, 4,599.99 and 1,399.83 is: 2,099.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.41 : 4,599.99 = 1,399.83 : x
  2. Step 2: Convert to fraction form
    3,066.41/4,599.99 = 1,399.83/x
  3. Step 3: Cross multiply
    3,066.41x = 4,599.99 × 1,399.83
  4. Step 4: Simplify right side
    3,066.41x = 6,439,212.63
  5. Step 5: Solve for x
    x = 6,439,212.63/3,066.41
  6. Step 6: Final answer
    x = 2,099.92

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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.