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Finding the Fourth Proportional to 2,066, 2,851.08 and 1,134.48

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Solution

The fourth proportional to 2,066, 2,851.08 and 1,134.48 is: 1,565.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066 : 2,851.08 = 1,134.48 : x
  2. Step 2: Convert to fraction form
    2,066/2,851.08 = 1,134.48/x
  3. Step 3: Cross multiply
    2,066x = 2,851.08 × 1,134.48
  4. Step 4: Simplify right side
    2,066x = 3,234,493.24
  5. Step 5: Solve for x
    x = 3,234,493.24/2,066
  6. Step 6: Final answer
    x = 1,565.58

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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.