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Finding the Fourth Proportional to 2,497.61, 3,448.02 and 1,936.82

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Solution

The fourth proportional to 2,497.61, 3,448.02 and 1,936.82 is: 2,673.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.61 : 3,448.02 = 1,936.82 : x
  2. Step 2: Convert to fraction form
    2,497.61/3,448.02 = 1,936.82/x
  3. Step 3: Cross multiply
    2,497.61x = 3,448.02 × 1,936.82
  4. Step 4: Simplify right side
    2,497.61x = 6,678,194.10
  5. Step 5: Solve for x
    x = 6,678,194.10/2,497.61
  6. Step 6: Final answer
    x = 2,673.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.