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Finding the Fourth Proportional to 2,097.48, 3,146.19 and 537.47

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Solution

The fourth proportional to 2,097.48, 3,146.19 and 537.47 is: 806.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.48 : 3,146.19 = 537.47 : x
  2. Step 2: Convert to fraction form
    2,097.48/3,146.19 = 537.47/x
  3. Step 3: Cross multiply
    2,097.48x = 3,146.19 × 537.47
  4. Step 4: Simplify right side
    2,097.48x = 1,690,982.74
  5. Step 5: Solve for x
    x = 1,690,982.74/2,097.48
  6. Step 6: Final answer
    x = 806.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.