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Finding the Fourth Proportional to 2,097.79, 3,147.46 and 865.31

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Solution

The fourth proportional to 2,097.79, 3,147.46 and 865.31 is: 1,298.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.79 : 3,147.46 = 865.31 : x
  2. Step 2: Convert to fraction form
    2,097.79/3,147.46 = 865.31/x
  3. Step 3: Cross multiply
    2,097.79x = 3,147.46 × 865.31
  4. Step 4: Simplify right side
    2,097.79x = 2,723,510.71
  5. Step 5: Solve for x
    x = 2,723,510.71/2,097.79
  6. Step 6: Final answer
    x = 1,298.28

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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.