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Finding the Fourth Proportional to 2,772.76, 3,826.64 and 1,594.21

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Solution

The fourth proportional to 2,772.76, 3,826.64 and 1,594.21 is: 2,200.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.76 : 3,826.64 = 1,594.21 : x
  2. Step 2: Convert to fraction form
    2,772.76/3,826.64 = 1,594.21/x
  3. Step 3: Cross multiply
    2,772.76x = 3,826.64 × 1,594.21
  4. Step 4: Simplify right side
    2,772.76x = 6,100,467.75
  5. Step 5: Solve for x
    x = 6,100,467.75/2,772.76
  6. Step 6: Final answer
    x = 2,200.14

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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.