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Finding the Fourth Proportional to 2,155.88, 3,233.93 and 695.15

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Solution

The fourth proportional to 2,155.88, 3,233.93 and 695.15 is: 1,042.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.88 : 3,233.93 = 695.15 : x
  2. Step 2: Convert to fraction form
    2,155.88/3,233.93 = 695.15/x
  3. Step 3: Cross multiply
    2,155.88x = 3,233.93 × 695.15
  4. Step 4: Simplify right side
    2,155.88x = 2,248,050.27
  5. Step 5: Solve for x
    x = 2,248,050.27/2,155.88
  6. Step 6: Final answer
    x = 1,042.75

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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.