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Finding the Fourth Proportional to 1,921.86, 2,652.75 and 1,662.66

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Solution

The fourth proportional to 1,921.86, 2,652.75 and 1,662.66 is: 2,294.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.86 : 2,652.75 = 1,662.66 : x
  2. Step 2: Convert to fraction form
    1,921.86/2,652.75 = 1,662.66/x
  3. Step 3: Cross multiply
    1,921.86x = 2,652.75 × 1,662.66
  4. Step 4: Simplify right side
    1,921.86x = 4,410,621.32
  5. Step 5: Solve for x
    x = 4,410,621.32/1,921.86
  6. Step 6: Final answer
    x = 2,294.98

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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.