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Finding the Fourth Proportional to 1,915.80, 2,626.86 and 1,728.56

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Solution

The fourth proportional to 1,915.80, 2,626.86 and 1,728.56 is: 2,370.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915.80 : 2,626.86 = 1,728.56 : x
  2. Step 2: Convert to fraction form
    1,915.80/2,626.86 = 1,728.56/x
  3. Step 3: Cross multiply
    1,915.80x = 2,626.86 × 1,728.56
  4. Step 4: Simplify right side
    1,915.80x = 4,540,671.99
  5. Step 5: Solve for x
    x = 4,540,671.99/1,915.80
  6. Step 6: Final answer
    x = 2,370.12

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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.