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Finding the Fourth Proportional to 2,887.84, 3,982.53 and 2,537.92

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Solution

The fourth proportional to 2,887.84, 3,982.53 and 2,537.92 is: 3,499.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887.84 : 3,982.53 = 2,537.92 : x
  2. Step 2: Convert to fraction form
    2,887.84/3,982.53 = 2,537.92/x
  3. Step 3: Cross multiply
    2,887.84x = 3,982.53 × 2,537.92
  4. Step 4: Simplify right side
    2,887.84x = 10,107,342.54
  5. Step 5: Solve for x
    x = 10,107,342.54/2,887.84
  6. Step 6: Final answer
    x = 3,499.97

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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.