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Finding the Fourth Proportional to 1,643.22, 2,268.09 and 1,311.48

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Solution

The fourth proportional to 1,643.22, 2,268.09 and 1,311.48 is: 1,810.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.22 : 2,268.09 = 1,311.48 : x
  2. Step 2: Convert to fraction form
    1,643.22/2,268.09 = 1,311.48/x
  3. Step 3: Cross multiply
    1,643.22x = 2,268.09 × 1,311.48
  4. Step 4: Simplify right side
    1,643.22x = 2,974,554.67
  5. Step 5: Solve for x
    x = 2,974,554.67/1,643.22
  6. Step 6: Final answer
    x = 1,810.20

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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.