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Finding the Fourth Proportional to 2,027.63, 2,798.13 and 1,096.13

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Solution

The fourth proportional to 2,027.63, 2,798.13 and 1,096.13 is: 1,512.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.63 : 2,798.13 = 1,096.13 : x
  2. Step 2: Convert to fraction form
    2,027.63/2,798.13 = 1,096.13/x
  3. Step 3: Cross multiply
    2,027.63x = 2,798.13 × 1,096.13
  4. Step 4: Simplify right side
    2,027.63x = 3,067,094.77
  5. Step 5: Solve for x
    x = 3,067,094.77/2,027.63
  6. Step 6: Final answer
    x = 1,512.65

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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.