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Finding the Fourth Proportional to 2,066.84, 3,100.16 and 1,142.85

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Solution

The fourth proportional to 2,066.84, 3,100.16 and 1,142.85 is: 1,714.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.84 : 3,100.16 = 1,142.85 : x
  2. Step 2: Convert to fraction form
    2,066.84/3,100.16 = 1,142.85/x
  3. Step 3: Cross multiply
    2,066.84x = 3,100.16 × 1,142.85
  4. Step 4: Simplify right side
    2,066.84x = 3,543,012.14
  5. Step 5: Solve for x
    x = 3,543,012.14/2,066.84
  6. Step 6: Final answer
    x = 1,714.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.