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Finding the Fourth Proportional to 2,066, 2,851.10 and 1,134.52

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Solution

The fourth proportional to 2,066, 2,851.10 and 1,134.52 is: 1,565.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066 : 2,851.10 = 1,134.52 : x
  2. Step 2: Convert to fraction form
    2,066/2,851.10 = 1,134.52/x
  3. Step 3: Cross multiply
    2,066x = 2,851.10 × 1,134.52
  4. Step 4: Simplify right side
    2,066x = 3,234,629.97
  5. Step 5: Solve for x
    x = 3,234,629.97/2,066
  6. Step 6: Final answer
    x = 1,565.65

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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.