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Finding the Fourth Proportional to 2,828.70, 3,903.93 and 2,737.98

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Solution

The fourth proportional to 2,828.70, 3,903.93 and 2,737.98 is: 3,778.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.70 : 3,903.93 = 2,737.98 : x
  2. Step 2: Convert to fraction form
    2,828.70/3,903.93 = 2,737.98/x
  3. Step 3: Cross multiply
    2,828.70x = 3,903.93 × 2,737.98
  4. Step 4: Simplify right side
    2,828.70x = 10,688,882.26
  5. Step 5: Solve for x
    x = 10,688,882.26/2,828.70
  6. Step 6: Final answer
    x = 3,778.73

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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.