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Finding the Fourth Proportional to 1,682.73, 2,322.15 and 984.12

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Solution

The fourth proportional to 1,682.73, 2,322.15 and 984.12 is: 1,358.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.73 : 2,322.15 = 984.12 : x
  2. Step 2: Convert to fraction form
    1,682.73/2,322.15 = 984.12/x
  3. Step 3: Cross multiply
    1,682.73x = 2,322.15 × 984.12
  4. Step 4: Simplify right side
    1,682.73x = 2,285,274.26
  5. Step 5: Solve for x
    x = 2,285,274.26/1,682.73
  6. Step 6: Final answer
    x = 1,358.08

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1.5x scale

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.