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Finding the Fourth Proportional to 2,066.73, 3,100.04 and 506.72

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Solution

The fourth proportional to 2,066.73, 3,100.04 and 506.72 is: 760.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.73 : 3,100.04 = 506.72 : x
  2. Step 2: Convert to fraction form
    2,066.73/3,100.04 = 506.72/x
  3. Step 3: Cross multiply
    2,066.73x = 3,100.04 × 506.72
  4. Step 4: Simplify right side
    2,066.73x = 1,570,834.24
  5. Step 5: Solve for x
    x = 1,570,834.24/2,066.73
  6. Step 6: Final answer
    x = 760.06

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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.