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Finding the Fourth Proportional to 2,257.11, 3,384.43 and 696.69

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Solution

The fourth proportional to 2,257.11, 3,384.43 and 696.69 is: 1,044.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.11 : 3,384.43 = 696.69 : x
  2. Step 2: Convert to fraction form
    2,257.11/3,384.43 = 696.69/x
  3. Step 3: Cross multiply
    2,257.11x = 3,384.43 × 696.69
  4. Step 4: Simplify right side
    2,257.11x = 2,357,896.79
  5. Step 5: Solve for x
    x = 2,357,896.79/2,257.11
  6. Step 6: Final answer
    x = 1,044.65

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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.