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Finding the Fourth Proportional to 2,884.35, 4,323.42 and 1,400.43

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Solution

The fourth proportional to 2,884.35, 4,323.42 and 1,400.43 is: 2,099.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.35 : 4,323.42 = 1,400.43 : x
  2. Step 2: Convert to fraction form
    2,884.35/4,323.42 = 1,400.43/x
  3. Step 3: Cross multiply
    2,884.35x = 4,323.42 × 1,400.43
  4. Step 4: Simplify right side
    2,884.35x = 6,054,647.07
  5. Step 5: Solve for x
    x = 6,054,647.07/2,884.35
  6. Step 6: Final answer
    x = 2,099.14

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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.