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Finding the Fourth Proportional to 1,687.93, 2,329 and 989.17

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Solution

The fourth proportional to 1,687.93, 2,329 and 989.17 is: 1,364.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.93 : 2,329 = 989.17 : x
  2. Step 2: Convert to fraction form
    1,687.93/2,329 = 989.17/x
  3. Step 3: Cross multiply
    1,687.93x = 2,329 × 989.17
  4. Step 4: Simplify right side
    1,687.93x = 2,303,776.93
  5. Step 5: Solve for x
    x = 2,303,776.93/1,687.93
  6. Step 6: Final answer
    x = 1,364.85

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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.