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Finding the Fourth Proportional to 2,472.18, 3,704.18 and 1,738.17

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Solution

The fourth proportional to 2,472.18, 3,704.18 and 1,738.17 is: 2,604.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.18 : 3,704.18 = 1,738.17 : x
  2. Step 2: Convert to fraction form
    2,472.18/3,704.18 = 1,738.17/x
  3. Step 3: Cross multiply
    2,472.18x = 3,704.18 × 1,738.17
  4. Step 4: Simplify right side
    2,472.18x = 6,438,485.86
  5. Step 5: Solve for x
    x = 6,438,485.86/2,472.18
  6. Step 6: Final answer
    x = 2,604.38

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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.