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Finding the Fourth Proportional to 2,024.63, 2,793.24 and 1,278.32

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Solution

The fourth proportional to 2,024.63, 2,793.24 and 1,278.32 is: 1,763.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.63 : 2,793.24 = 1,278.32 : x
  2. Step 2: Convert to fraction form
    2,024.63/2,793.24 = 1,278.32/x
  3. Step 3: Cross multiply
    2,024.63x = 2,793.24 × 1,278.32
  4. Step 4: Simplify right side
    2,024.63x = 3,570,654.56
  5. Step 5: Solve for x
    x = 3,570,654.56/2,024.63
  6. Step 6: Final answer
    x = 1,763.61

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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.