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Finding the Fourth Proportional to 2,097.90, 3,147.51 and 865.89

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Solution

The fourth proportional to 2,097.90, 3,147.51 and 865.89 is: 1,299.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.90 : 3,147.51 = 865.89 : x
  2. Step 2: Convert to fraction form
    2,097.90/3,147.51 = 865.89/x
  3. Step 3: Cross multiply
    2,097.90x = 3,147.51 × 865.89
  4. Step 4: Simplify right side
    2,097.90x = 2,725,397.43
  5. Step 5: Solve for x
    x = 2,725,397.43/2,097.90
  6. Step 6: Final answer
    x = 1,299.11

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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.