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Finding the Fourth Proportional to 1,698.69, 2,535.73 and 1,469.05

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Solution

The fourth proportional to 1,698.69, 2,535.73 and 1,469.05 is: 2,192.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.69 : 2,535.73 = 1,469.05 : x
  2. Step 2: Convert to fraction form
    1,698.69/2,535.73 = 1,469.05/x
  3. Step 3: Cross multiply
    1,698.69x = 2,535.73 × 1,469.05
  4. Step 4: Simplify right side
    1,698.69x = 3,725,114.16
  5. Step 5: Solve for x
    x = 3,725,114.16/1,698.69
  6. Step 6: Final answer
    x = 2,192.93

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