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Finding the Fourth Proportional to 1,210.84, 1,825.97 and 1,194.43

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Solution

The fourth proportional to 1,210.84, 1,825.97 and 1,194.43 is: 1,801.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.84 : 1,825.97 = 1,194.43 : x
  2. Step 2: Convert to fraction form
    1,210.84/1,825.97 = 1,194.43/x
  3. Step 3: Cross multiply
    1,210.84x = 1,825.97 × 1,194.43
  4. Step 4: Simplify right side
    1,210.84x = 2,180,993.35
  5. Step 5: Solve for x
    x = 2,180,993.35/1,210.84
  6. Step 6: Final answer
    x = 1,801.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.