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Finding the Fourth Proportional to 1,833.64, 2,737.14 and 1,698.47

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Solution

The fourth proportional to 1,833.64, 2,737.14 and 1,698.47 is: 2,535.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.64 : 2,737.14 = 1,698.47 : x
  2. Step 2: Convert to fraction form
    1,833.64/2,737.14 = 1,698.47/x
  3. Step 3: Cross multiply
    1,833.64x = 2,737.14 × 1,698.47
  4. Step 4: Simplify right side
    1,833.64x = 4,648,949.94
  5. Step 5: Solve for x
    x = 4,648,949.94/1,833.64
  6. Step 6: Final answer
    x = 2,535.37

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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.