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Finding the Fourth Proportional to 2,732.00, 4,097.39 and 784.35

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Solution

The fourth proportional to 2,732.00, 4,097.39 and 784.35 is: 1,176.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.00 : 4,097.39 = 784.35 : x
  2. Step 2: Convert to fraction form
    2,732.00/4,097.39 = 784.35/x
  3. Step 3: Cross multiply
    2,732.00x = 4,097.39 × 784.35
  4. Step 4: Simplify right side
    2,732.00x = 3,213,783.92
  5. Step 5: Solve for x
    x = 3,213,783.92/2,732.00
  6. Step 6: Final answer
    x = 1,176.35

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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.