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Finding the Fourth Proportional to 2,732.01, 4,097.94 and 784.23

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Solution

The fourth proportional to 2,732.01, 4,097.94 and 784.23 is: 1,176.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.01 : 4,097.94 = 784.23 : x
  2. Step 2: Convert to fraction form
    2,732.01/4,097.94 = 784.23/x
  3. Step 3: Cross multiply
    2,732.01x = 4,097.94 × 784.23
  4. Step 4: Simplify right side
    2,732.01x = 3,213,727.49
  5. Step 5: Solve for x
    x = 3,213,727.49/2,732.01
  6. Step 6: Final answer
    x = 1,176.32

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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.