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Finding the Fourth Proportional to 1,965.02, 2,713.46 and 1,466.78

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Solution

The fourth proportional to 1,965.02, 2,713.46 and 1,466.78 is: 2,025.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.02 : 2,713.46 = 1,466.78 : x
  2. Step 2: Convert to fraction form
    1,965.02/2,713.46 = 1,466.78/x
  3. Step 3: Cross multiply
    1,965.02x = 2,713.46 × 1,466.78
  4. Step 4: Simplify right side
    1,965.02x = 3,980,027.96
  5. Step 5: Solve for x
    x = 3,980,027.96/1,965.02
  6. Step 6: Final answer
    x = 2,025.44

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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.