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Finding the Fourth Proportional to 2,594.92, 3,891.16 and 950.32

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Solution

The fourth proportional to 2,594.92, 3,891.16 and 950.32 is: 1,425.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.92 : 3,891.16 = 950.32 : x
  2. Step 2: Convert to fraction form
    2,594.92/3,891.16 = 950.32/x
  3. Step 3: Cross multiply
    2,594.92x = 3,891.16 × 950.32
  4. Step 4: Simplify right side
    2,594.92x = 3,697,847.17
  5. Step 5: Solve for x
    x = 3,697,847.17/2,594.92
  6. Step 6: Final answer
    x = 1,425.03

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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.