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Finding the Fourth Proportional to 2,064.27, 2,848.41 and 1,268.00

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Solution

The fourth proportional to 2,064.27, 2,848.41 and 1,268.00 is: 1,749.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.27 : 2,848.41 = 1,268.00 : x
  2. Step 2: Convert to fraction form
    2,064.27/2,848.41 = 1,268.00/x
  3. Step 3: Cross multiply
    2,064.27x = 2,848.41 × 1,268.00
  4. Step 4: Simplify right side
    2,064.27x = 3,611,769.64
  5. Step 5: Solve for x
    x = 3,611,769.64/2,064.27
  6. Step 6: Final answer
    x = 1,749.66

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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.