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Finding the Fourth Proportional to 2,961.92, 4,088.22 and 1,843.76

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Solution

The fourth proportional to 2,961.92, 4,088.22 and 1,843.76 is: 2,544.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.92 : 4,088.22 = 1,843.76 : x
  2. Step 2: Convert to fraction form
    2,961.92/4,088.22 = 1,843.76/x
  3. Step 3: Cross multiply
    2,961.92x = 4,088.22 × 1,843.76
  4. Step 4: Simplify right side
    2,961.92x = 7,537,699.81
  5. Step 5: Solve for x
    x = 7,537,699.81/2,961.92
  6. Step 6: Final answer
    x = 2,544.87

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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.