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Finding the Fourth Proportional to 1,682.75, 2,322.40 and 984.13

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Solution

The fourth proportional to 1,682.75, 2,322.40 and 984.13 is: 1,358.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.75 : 2,322.40 = 984.13 : x
  2. Step 2: Convert to fraction form
    1,682.75/2,322.40 = 984.13/x
  3. Step 3: Cross multiply
    1,682.75x = 2,322.40 × 984.13
  4. Step 4: Simplify right side
    1,682.75x = 2,285,543.51
  5. Step 5: Solve for x
    x = 2,285,543.51/1,682.75
  6. Step 6: Final answer
    x = 1,358.22

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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.