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Finding the Fourth Proportional to 3,484.92, 4,807 and 2,067.60

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Solution

The fourth proportional to 3,484.92, 4,807 and 2,067.60 is: 2,851.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.92 : 4,807 = 2,067.60 : x
  2. Step 2: Convert to fraction form
    3,484.92/4,807 = 2,067.60/x
  3. Step 3: Cross multiply
    3,484.92x = 4,807 × 2,067.60
  4. Step 4: Simplify right side
    3,484.92x = 9,938,965.22
  5. Step 5: Solve for x
    x = 9,938,965.22/3,484.92
  6. Step 6: Final answer
    x = 2,851.99

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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.