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Finding the Fourth Proportional to 2,594.89, 3,883.83 and 1,620.46

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Solution

The fourth proportional to 2,594.89, 3,883.83 and 1,620.46 is: 2,425.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.89 : 3,883.83 = 1,620.46 : x
  2. Step 2: Convert to fraction form
    2,594.89/3,883.83 = 1,620.46/x
  3. Step 3: Cross multiply
    2,594.89x = 3,883.83 × 1,620.46
  4. Step 4: Simplify right side
    2,594.89x = 6,293,591.16
  5. Step 5: Solve for x
    x = 6,293,591.16/2,594.89
  6. Step 6: Final answer
    x = 2,425.38

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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.