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Finding the Fourth Proportional to 2,477.20, 3,715.80 and 2,093.20

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Solution

The fourth proportional to 2,477.20, 3,715.80 and 2,093.20 is: 3,139.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.20 : 3,715.80 = 2,093.20 : x
  2. Step 2: Convert to fraction form
    2,477.20/3,715.80 = 2,093.20/x
  3. Step 3: Cross multiply
    2,477.20x = 3,715.80 × 2,093.20
  4. Step 4: Simplify right side
    2,477.20x = 7,777,912.56
  5. Step 5: Solve for x
    x = 7,777,912.56/2,477.20
  6. Step 6: Final answer
    x = 3,139.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.