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Finding the Fourth Proportional to 2,695.86, 4,040.55 and 963.54

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Solution

The fourth proportional to 2,695.86, 4,040.55 and 963.54 is: 1,444.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.86 : 4,040.55 = 963.54 : x
  2. Step 2: Convert to fraction form
    2,695.86/4,040.55 = 963.54/x
  3. Step 3: Cross multiply
    2,695.86x = 4,040.55 × 963.54
  4. Step 4: Simplify right side
    2,695.86x = 3,893,231.55
  5. Step 5: Solve for x
    x = 3,893,231.55/2,695.86
  6. Step 6: Final answer
    x = 1,444.15

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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.