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Finding the Fourth Proportional to 2,268.72, 3,130.96 and 1,708.18

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Solution

The fourth proportional to 2,268.72, 3,130.96 and 1,708.18 is: 2,357.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.72 : 3,130.96 = 1,708.18 : x
  2. Step 2: Convert to fraction form
    2,268.72/3,130.96 = 1,708.18/x
  3. Step 3: Cross multiply
    2,268.72x = 3,130.96 × 1,708.18
  4. Step 4: Simplify right side
    2,268.72x = 5,348,243.25
  5. Step 5: Solve for x
    x = 5,348,243.25/2,268.72
  6. Step 6: Final answer
    x = 2,357.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.