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Finding the Fourth Proportional to 2,884.53, 4,323.67 and 1,400.62

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Solution

The fourth proportional to 2,884.53, 4,323.67 and 1,400.62 is: 2,099.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.53 : 4,323.67 = 1,400.62 : x
  2. Step 2: Convert to fraction form
    2,884.53/4,323.67 = 1,400.62/x
  3. Step 3: Cross multiply
    2,884.53x = 4,323.67 × 1,400.62
  4. Step 4: Simplify right side
    2,884.53x = 6,055,818.68
  5. Step 5: Solve for x
    x = 6,055,818.68/2,884.53
  6. Step 6: Final answer
    x = 2,099.41

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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.