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Finding the Fourth Proportional to 2,396.38, 3,306.90 and 1,688.51

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Solution

The fourth proportional to 2,396.38, 3,306.90 and 1,688.51 is: 2,330.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.38 : 3,306.90 = 1,688.51 : x
  2. Step 2: Convert to fraction form
    2,396.38/3,306.90 = 1,688.51/x
  3. Step 3: Cross multiply
    2,396.38x = 3,306.90 × 1,688.51
  4. Step 4: Simplify right side
    2,396.38x = 5,583,733.72
  5. Step 5: Solve for x
    x = 5,583,733.72/2,396.38
  6. Step 6: Final answer
    x = 2,330.07

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Why These Related Problems?

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