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Finding the Fourth Proportional to 2,155.96, 3,234.24 and 695.42

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Solution

The fourth proportional to 2,155.96, 3,234.24 and 695.42 is: 1,043.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.96 : 3,234.24 = 695.42 : x
  2. Step 2: Convert to fraction form
    2,155.96/3,234.24 = 695.42/x
  3. Step 3: Cross multiply
    2,155.96x = 3,234.24 × 695.42
  4. Step 4: Simplify right side
    2,155.96x = 2,249,155.18
  5. Step 5: Solve for x
    x = 2,249,155.18/2,155.96
  6. Step 6: Final answer
    x = 1,043.23

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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.