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Finding the Fourth Proportional to 1,641.39, 2,462.07 and 1,397.40

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Solution

The fourth proportional to 1,641.39, 2,462.07 and 1,397.40 is: 2,096.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.39 : 2,462.07 = 1,397.40 : x
  2. Step 2: Convert to fraction form
    1,641.39/2,462.07 = 1,397.40/x
  3. Step 3: Cross multiply
    1,641.39x = 2,462.07 × 1,397.40
  4. Step 4: Simplify right side
    1,641.39x = 3,440,496.62
  5. Step 5: Solve for x
    x = 3,440,496.62/1,641.39
  6. Step 6: Final answer
    x = 2,096.09

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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.