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Finding the Fourth Proportional to 2,718.93, 4,080.23 and 963.93

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Solution

The fourth proportional to 2,718.93, 4,080.23 and 963.93 is: 1,446.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.93 : 4,080.23 = 963.93 : x
  2. Step 2: Convert to fraction form
    2,718.93/4,080.23 = 963.93/x
  3. Step 3: Cross multiply
    2,718.93x = 4,080.23 × 963.93
  4. Step 4: Simplify right side
    2,718.93x = 3,933,051.28
  5. Step 5: Solve for x
    x = 3,933,051.28/2,718.93
  6. Step 6: Final answer
    x = 1,446.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.