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Finding the Fourth Proportional to 1,472.36, 2,019.74 and 1,392.90

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Solution

The fourth proportional to 1,472.36, 2,019.74 and 1,392.90 is: 1,910.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.36 : 2,019.74 = 1,392.90 : x
  2. Step 2: Convert to fraction form
    1,472.36/2,019.74 = 1,392.90/x
  3. Step 3: Cross multiply
    1,472.36x = 2,019.74 × 1,392.90
  4. Step 4: Simplify right side
    1,472.36x = 2,813,295.85
  5. Step 5: Solve for x
    x = 2,813,295.85/1,472.36
  6. Step 6: Final answer
    x = 1,910.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.