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Finding the Fourth Proportional to 1,397.00, 2,084.89 and 1,340.49

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Solution

The fourth proportional to 1,397.00, 2,084.89 and 1,340.49 is: 2,000.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.00 : 2,084.89 = 1,340.49 : x
  2. Step 2: Convert to fraction form
    1,397.00/2,084.89 = 1,340.49/x
  3. Step 3: Cross multiply
    1,397.00x = 2,084.89 × 1,340.49
  4. Step 4: Simplify right side
    1,397.00x = 2,794,781.18
  5. Step 5: Solve for x
    x = 2,794,781.18/1,397.00
  6. Step 6: Final answer
    x = 2,000.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.