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Finding the Fourth Proportional to 2,316.84, 3,197.20 and 1,268.90

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Solution

The fourth proportional to 2,316.84, 3,197.20 and 1,268.90 is: 1,751.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.84 : 3,197.20 = 1,268.90 : x
  2. Step 2: Convert to fraction form
    2,316.84/3,197.20 = 1,268.90/x
  3. Step 3: Cross multiply
    2,316.84x = 3,197.20 × 1,268.90
  4. Step 4: Simplify right side
    2,316.84x = 4,056,927.08
  5. Step 5: Solve for x
    x = 4,056,927.08/2,316.84
  6. Step 6: Final answer
    x = 1,751.06

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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.