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Finding the Fourth Proportional to 2,315.94, 3,196.06 and 1,268.00

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Solution

The fourth proportional to 2,315.94, 3,196.06 and 1,268.00 is: 1,749.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.94 : 3,196.06 = 1,268.00 : x
  2. Step 2: Convert to fraction form
    2,315.94/3,196.06 = 1,268.00/x
  3. Step 3: Cross multiply
    2,315.94x = 3,196.06 × 1,268.00
  4. Step 4: Simplify right side
    2,315.94x = 4,052,588.10
  5. Step 5: Solve for x
    x = 4,052,588.10/2,315.94
  6. Step 6: Final answer
    x = 1,749.87

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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.