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Finding the Fourth Proportional to 3,099.84, 4,276.80 and 2,053.44

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Solution

The fourth proportional to 3,099.84, 4,276.80 and 2,053.44 is: 2,833.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.84 : 4,276.80 = 2,053.44 : x
  2. Step 2: Convert to fraction form
    3,099.84/4,276.80 = 2,053.44/x
  3. Step 3: Cross multiply
    3,099.84x = 4,276.80 × 2,053.44
  4. Step 4: Simplify right side
    3,099.84x = 8,782,152.19
  5. Step 5: Solve for x
    x = 8,782,152.19/3,099.84
  6. Step 6: Final answer
    x = 2,833.10

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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.