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Finding the Fourth Proportional to 2,153.01, 2,969.74 and 1,268.19

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Solution

The fourth proportional to 2,153.01, 2,969.74 and 1,268.19 is: 1,749.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.01 : 2,969.74 = 1,268.19 : x
  2. Step 2: Convert to fraction form
    2,153.01/2,969.74 = 1,268.19/x
  3. Step 3: Cross multiply
    2,153.01x = 2,969.74 × 1,268.19
  4. Step 4: Simplify right side
    2,153.01x = 3,766,194.57
  5. Step 5: Solve for x
    x = 3,766,194.57/2,153.01
  6. Step 6: Final answer
    x = 1,749.27

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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.