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Finding the Fourth Proportional to 2,097.43, 3,148.07 and 2,089.59

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Solution

The fourth proportional to 2,097.43, 3,148.07 and 2,089.59 is: 3,136.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.43 : 3,148.07 = 2,089.59 : x
  2. Step 2: Convert to fraction form
    2,097.43/3,148.07 = 2,089.59/x
  3. Step 3: Cross multiply
    2,097.43x = 3,148.07 × 2,089.59
  4. Step 4: Simplify right side
    2,097.43x = 6,578,175.59
  5. Step 5: Solve for x
    x = 6,578,175.59/2,097.43
  6. Step 6: Final answer
    x = 3,136.30

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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.