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Finding the Fourth Proportional to 2,081.54, 3,122.72 and 695.32

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Solution

The fourth proportional to 2,081.54, 3,122.72 and 695.32 is: 1,043.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.54 : 3,122.72 = 695.32 : x
  2. Step 2: Convert to fraction form
    2,081.54/3,122.72 = 695.32/x
  3. Step 3: Cross multiply
    2,081.54x = 3,122.72 × 695.32
  4. Step 4: Simplify right side
    2,081.54x = 2,171,289.67
  5. Step 5: Solve for x
    x = 2,171,289.67/2,081.54
  6. Step 6: Final answer
    x = 1,043.12

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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.