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Finding the Fourth Proportional to 2,066.97, 3,100.50 and 527.97

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Solution

The fourth proportional to 2,066.97, 3,100.50 and 527.97 is: 791.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.97 : 3,100.50 = 527.97 : x
  2. Step 2: Convert to fraction form
    2,066.97/3,100.50 = 527.97/x
  3. Step 3: Cross multiply
    2,066.97x = 3,100.50 × 527.97
  4. Step 4: Simplify right side
    2,066.97x = 1,636,970.99
  5. Step 5: Solve for x
    x = 1,636,970.99/2,066.97
  6. Step 6: Final answer
    x = 791.97

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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.