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Finding the Fourth Proportional to 1,655.97, 2,285.09 and 909.92

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Solution

The fourth proportional to 1,655.97, 2,285.09 and 909.92 is: 1,255.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.97 : 2,285.09 = 909.92 : x
  2. Step 2: Convert to fraction form
    1,655.97/2,285.09 = 909.92/x
  3. Step 3: Cross multiply
    1,655.97x = 2,285.09 × 909.92
  4. Step 4: Simplify right side
    1,655.97x = 2,079,249.09
  5. Step 5: Solve for x
    x = 2,079,249.09/1,655.97
  6. Step 6: Final answer
    x = 1,255.61

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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.