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Finding the Fourth Proportional to 2,874.48, 3,972.14 and 2,448.82

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Solution

The fourth proportional to 2,874.48, 3,972.14 and 2,448.82 is: 3,383.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.48 : 3,972.14 = 2,448.82 : x
  2. Step 2: Convert to fraction form
    2,874.48/3,972.14 = 2,448.82/x
  3. Step 3: Cross multiply
    2,874.48x = 3,972.14 × 2,448.82
  4. Step 4: Simplify right side
    2,874.48x = 9,727,055.87
  5. Step 5: Solve for x
    x = 9,727,055.87/2,874.48
  6. Step 6: Final answer
    x = 3,383.94

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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.