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Finding the Fourth Proportional to 2,911.98, 4,367.55 and 963.93

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Solution

The fourth proportional to 2,911.98, 4,367.55 and 963.93 is: 1,445.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.98 : 4,367.55 = 963.93 : x
  2. Step 2: Convert to fraction form
    2,911.98/4,367.55 = 963.93/x
  3. Step 3: Cross multiply
    2,911.98x = 4,367.55 × 963.93
  4. Step 4: Simplify right side
    2,911.98x = 4,210,012.47
  5. Step 5: Solve for x
    x = 4,210,012.47/2,911.98
  6. Step 6: Final answer
    x = 1,445.76

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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.