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Finding the Fourth Proportional to 2,066.59, 2,851.72 and 1,135.09

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Solution

The fourth proportional to 2,066.59, 2,851.72 and 1,135.09 is: 1,566.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.59 : 2,851.72 = 1,135.09 : x
  2. Step 2: Convert to fraction form
    2,066.59/2,851.72 = 1,135.09/x
  3. Step 3: Cross multiply
    2,066.59x = 2,851.72 × 1,135.09
  4. Step 4: Simplify right side
    2,066.59x = 3,236,958.85
  5. Step 5: Solve for x
    x = 3,236,958.85/2,066.59
  6. Step 6: Final answer
    x = 1,566.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.