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Finding the Fourth Proportional to 2,074.63, 2,864.37 and 1,942.39

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Solution

The fourth proportional to 2,074.63, 2,864.37 and 1,942.39 is: 2,681.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.63 : 2,864.37 = 1,942.39 : x
  2. Step 2: Convert to fraction form
    2,074.63/2,864.37 = 1,942.39/x
  3. Step 3: Cross multiply
    2,074.63x = 2,864.37 × 1,942.39
  4. Step 4: Simplify right side
    2,074.63x = 5,563,723.64
  5. Step 5: Solve for x
    x = 5,563,723.64/2,074.63
  6. Step 6: Final answer
    x = 2,681.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.