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Finding the Fourth Proportional to 2,255.40, 3,383.12 and 695.39

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Solution

The fourth proportional to 2,255.40, 3,383.12 and 695.39 is: 1,043.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.40 : 3,383.12 = 695.39 : x
  2. Step 2: Convert to fraction form
    2,255.40/3,383.12 = 695.39/x
  3. Step 3: Cross multiply
    2,255.40x = 3,383.12 × 695.39
  4. Step 4: Simplify right side
    2,255.40x = 2,352,567.42
  5. Step 5: Solve for x
    x = 2,352,567.42/2,255.40
  6. Step 6: Final answer
    x = 1,043.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.