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Finding the Fourth Proportional to 2,331.28, 3,496.38 and 687.39

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Solution

The fourth proportional to 2,331.28, 3,496.38 and 687.39 is: 1,030.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.28 : 3,496.38 = 687.39 : x
  2. Step 2: Convert to fraction form
    2,331.28/3,496.38 = 687.39/x
  3. Step 3: Cross multiply
    2,331.28x = 3,496.38 × 687.39
  4. Step 4: Simplify right side
    2,331.28x = 2,403,376.65
  5. Step 5: Solve for x
    x = 2,403,376.65/2,331.28
  6. Step 6: Final answer
    x = 1,030.93

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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.