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Finding the Fourth Proportional to 1,687.99, 2,329.37 and 989.35

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Solution

The fourth proportional to 1,687.99, 2,329.37 and 989.35 is: 1,365.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.99 : 2,329.37 = 989.35 : x
  2. Step 2: Convert to fraction form
    1,687.99/2,329.37 = 989.35/x
  3. Step 3: Cross multiply
    1,687.99x = 2,329.37 × 989.35
  4. Step 4: Simplify right side
    1,687.99x = 2,304,557.26
  5. Step 5: Solve for x
    x = 2,304,557.26/1,687.99
  6. Step 6: Final answer
    x = 1,365.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.