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Finding the Fourth Proportional to 2,044, 3,066.04 and 505

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Solution

The fourth proportional to 2,044, 3,066.04 and 505 is: 757.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044 : 3,066.04 = 505 : x
  2. Step 2: Convert to fraction form
    2,044/3,066.04 = 505/x
  3. Step 3: Cross multiply
    2,044x = 3,066.04 × 505
  4. Step 4: Simplify right side
    2,044x = 1,548,350.20
  5. Step 5: Solve for x
    x = 1,548,350.20/2,044
  6. Step 6: Final answer
    x = 757.51

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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.