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Finding the Fourth Proportional to 1,682.87, 2,322.49 and 937.02

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Solution

The fourth proportional to 1,682.87, 2,322.49 and 937.02 is: 1,293.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.87 : 2,322.49 = 937.02 : x
  2. Step 2: Convert to fraction form
    1,682.87/2,322.49 = 937.02/x
  3. Step 3: Cross multiply
    1,682.87x = 2,322.49 × 937.02
  4. Step 4: Simplify right side
    1,682.87x = 2,176,219.58
  5. Step 5: Solve for x
    x = 2,176,219.58/1,682.87
  6. Step 6: Final answer
    x = 1,293.16

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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.