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Finding the Fourth Proportional to 1,834.14, 2,737.87 and 1,698.78

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Solution

The fourth proportional to 1,834.14, 2,737.87 and 1,698.78 is: 2,535.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.14 : 2,737.87 = 1,698.78 : x
  2. Step 2: Convert to fraction form
    1,834.14/2,737.87 = 1,698.78/x
  3. Step 3: Cross multiply
    1,834.14x = 2,737.87 × 1,698.78
  4. Step 4: Simplify right side
    1,834.14x = 4,651,038.80
  5. Step 5: Solve for x
    x = 4,651,038.80/1,834.14
  6. Step 6: Final answer
    x = 2,535.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.