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Finding the Fourth Proportional to 2,067.45, 2,851.07 and 1,570.11

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Solution

The fourth proportional to 2,067.45, 2,851.07 and 1,570.11 is: 2,165.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.45 : 2,851.07 = 1,570.11 : x
  2. Step 2: Convert to fraction form
    2,067.45/2,851.07 = 1,570.11/x
  3. Step 3: Cross multiply
    2,067.45x = 2,851.07 × 1,570.11
  4. Step 4: Simplify right side
    2,067.45x = 4,476,493.52
  5. Step 5: Solve for x
    x = 4,476,493.52/2,067.45
  6. Step 6: Final answer
    x = 2,165.22

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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.