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Finding the Fourth Proportional to 3,093.13, 4,268.54 and 1,695.88

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Solution

The fourth proportional to 3,093.13, 4,268.54 and 1,695.88 is: 2,340.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.13 : 4,268.54 = 1,695.88 : x
  2. Step 2: Convert to fraction form
    3,093.13/4,268.54 = 1,695.88/x
  3. Step 3: Cross multiply
    3,093.13x = 4,268.54 × 1,695.88
  4. Step 4: Simplify right side
    3,093.13x = 7,238,901.79
  5. Step 5: Solve for x
    x = 7,238,901.79/3,093.13
  6. Step 6: Final answer
    x = 2,340.32

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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.