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Finding the Fourth Proportional to 2,066.57, 2,851.89 and 1,122.38

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Solution

The fourth proportional to 2,066.57, 2,851.89 and 1,122.38 is: 1,548.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.57 : 2,851.89 = 1,122.38 : x
  2. Step 2: Convert to fraction form
    2,066.57/2,851.89 = 1,122.38/x
  3. Step 3: Cross multiply
    2,066.57x = 2,851.89 × 1,122.38
  4. Step 4: Simplify right side
    2,066.57x = 3,200,904.30
  5. Step 5: Solve for x
    x = 3,200,904.30/2,066.57
  6. Step 6: Final answer
    x = 1,548.90

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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.