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Finding the Fourth Proportional to 2,594.80, 3,892.20 and 1,627.05

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Solution

The fourth proportional to 2,594.80, 3,892.20 and 1,627.05 is: 2,440.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.80 : 3,892.20 = 1,627.05 : x
  2. Step 2: Convert to fraction form
    2,594.80/3,892.20 = 1,627.05/x
  3. Step 3: Cross multiply
    2,594.80x = 3,892.20 × 1,627.05
  4. Step 4: Simplify right side
    2,594.80x = 6,332,821.66
  5. Step 5: Solve for x
    x = 6,332,821.66/2,594.80
  6. Step 6: Final answer
    x = 2,440.58

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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.