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Finding the Fourth Proportional to 1,698.84, 2,329.17 and 1,696.11

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Solution

The fourth proportional to 1,698.84, 2,329.17 and 1,696.11 is: 2,325.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.84 : 2,329.17 = 1,696.11 : x
  2. Step 2: Convert to fraction form
    1,698.84/2,329.17 = 1,696.11/x
  3. Step 3: Cross multiply
    1,698.84x = 2,329.17 × 1,696.11
  4. Step 4: Simplify right side
    1,698.84x = 3,950,528.53
  5. Step 5: Solve for x
    x = 3,950,528.53/1,698.84
  6. Step 6: Final answer
    x = 2,325.43

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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.