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Finding the Fourth Proportional to 2,594.96, 3,892.86 and 1,034.96

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Solution

The fourth proportional to 2,594.96, 3,892.86 and 1,034.96 is: 1,552.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.96 : 3,892.86 = 1,034.96 : x
  2. Step 2: Convert to fraction form
    2,594.96/3,892.86 = 1,034.96/x
  3. Step 3: Cross multiply
    2,594.96x = 3,892.86 × 1,034.96
  4. Step 4: Simplify right side
    2,594.96x = 4,028,954.39
  5. Step 5: Solve for x
    x = 4,028,954.39/2,594.96
  6. Step 6: Final answer
    x = 1,552.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.