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Finding the Fourth Proportional to 1,397.70, 2,096.46 and 1,362.82

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Solution

The fourth proportional to 1,397.70, 2,096.46 and 1,362.82 is: 2,044.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.70 : 2,096.46 = 1,362.82 : x
  2. Step 2: Convert to fraction form
    1,397.70/2,096.46 = 1,362.82/x
  3. Step 3: Cross multiply
    1,397.70x = 2,096.46 × 1,362.82
  4. Step 4: Simplify right side
    1,397.70x = 2,857,097.62
  5. Step 5: Solve for x
    x = 2,857,097.62/1,397.70
  6. Step 6: Final answer
    x = 2,044.14

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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.