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Finding the Fourth Proportional to 2,981.70, 4,472.55 and 1,523.70

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Solution

The fourth proportional to 2,981.70, 4,472.55 and 1,523.70 is: 2,285.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.70 : 4,472.55 = 1,523.70 : x
  2. Step 2: Convert to fraction form
    2,981.70/4,472.55 = 1,523.70/x
  3. Step 3: Cross multiply
    2,981.70x = 4,472.55 × 1,523.70
  4. Step 4: Simplify right side
    2,981.70x = 6,814,824.44
  5. Step 5: Solve for x
    x = 6,814,824.44/2,981.70
  6. Step 6: Final answer
    x = 2,285.55

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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.