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Finding the Fourth Proportional to 2,097.73, 3,146.49 and 616.93

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Solution

The fourth proportional to 2,097.73, 3,146.49 and 616.93 is: 925.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.73 : 3,146.49 = 616.93 : x
  2. Step 2: Convert to fraction form
    2,097.73/3,146.49 = 616.93/x
  3. Step 3: Cross multiply
    2,097.73x = 3,146.49 × 616.93
  4. Step 4: Simplify right side
    2,097.73x = 1,941,164.08
  5. Step 5: Solve for x
    x = 1,941,164.08/2,097.73
  6. Step 6: Final answer
    x = 925.36

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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.