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Finding the Fourth Proportional to 2,186.84, 3,017.84 and 1,192.12

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Solution

The fourth proportional to 2,186.84, 3,017.84 and 1,192.12 is: 1,645.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.84 : 3,017.84 = 1,192.12 : x
  2. Step 2: Convert to fraction form
    2,186.84/3,017.84 = 1,192.12/x
  3. Step 3: Cross multiply
    2,186.84x = 3,017.84 × 1,192.12
  4. Step 4: Simplify right side
    2,186.84x = 3,597,633.35
  5. Step 5: Solve for x
    x = 3,597,633.35/2,186.84
  6. Step 6: Final answer
    x = 1,645.13

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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.