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Finding the Fourth Proportional to 2,803.74, 4,220.23 and 2,380.92

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Solution

The fourth proportional to 2,803.74, 4,220.23 and 2,380.92 is: 3,583.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.74 : 4,220.23 = 2,380.92 : x
  2. Step 2: Convert to fraction form
    2,803.74/4,220.23 = 2,380.92/x
  3. Step 3: Cross multiply
    2,803.74x = 4,220.23 × 2,380.92
  4. Step 4: Simplify right side
    2,803.74x = 10,047,999.98
  5. Step 5: Solve for x
    x = 10,047,999.98/2,803.74
  6. Step 6: Final answer
    x = 3,583.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.