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Finding the Fourth Proportional to 3,098.92, 4,276.24 and 1,772.41

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Solution

The fourth proportional to 3,098.92, 4,276.24 and 1,772.41 is: 2,445.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.92 : 4,276.24 = 1,772.41 : x
  2. Step 2: Convert to fraction form
    3,098.92/4,276.24 = 1,772.41/x
  3. Step 3: Cross multiply
    3,098.92x = 4,276.24 × 1,772.41
  4. Step 4: Simplify right side
    3,098.92x = 7,579,250.54
  5. Step 5: Solve for x
    x = 7,579,250.54/3,098.92
  6. Step 6: Final answer
    x = 2,445.77

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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.