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Finding the Fourth Proportional to 2,684.54, 4,024.99 and 1,296.71

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Solution

The fourth proportional to 2,684.54, 4,024.99 and 1,296.71 is: 1,944.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.54 : 4,024.99 = 1,296.71 : x
  2. Step 2: Convert to fraction form
    2,684.54/4,024.99 = 1,296.71/x
  3. Step 3: Cross multiply
    2,684.54x = 4,024.99 × 1,296.71
  4. Step 4: Simplify right side
    2,684.54x = 5,219,241.37
  5. Step 5: Solve for x
    x = 5,219,241.37/2,684.54
  6. Step 6: Final answer
    x = 1,944.18

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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.