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Finding the Fourth Proportional to 2,643.14, 3,643.98 and 2,268.50

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Solution

The fourth proportional to 2,643.14, 3,643.98 and 2,268.50 is: 3,127.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.14 : 3,643.98 = 2,268.50 : x
  2. Step 2: Convert to fraction form
    2,643.14/3,643.98 = 2,268.50/x
  3. Step 3: Cross multiply
    2,643.14x = 3,643.98 × 2,268.50
  4. Step 4: Simplify right side
    2,643.14x = 8,266,368.63
  5. Step 5: Solve for x
    x = 8,266,368.63/2,643.14
  6. Step 6: Final answer
    x = 3,127.48

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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.