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Finding the Fourth Proportional to 2,544.63, 3,513.62 and 1,694.71

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Solution

The fourth proportional to 2,544.63, 3,513.62 and 1,694.71 is: 2,340.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544.63 : 3,513.62 = 1,694.71 : x
  2. Step 2: Convert to fraction form
    2,544.63/3,513.62 = 1,694.71/x
  3. Step 3: Cross multiply
    2,544.63x = 3,513.62 × 1,694.71
  4. Step 4: Simplify right side
    2,544.63x = 5,954,566.95
  5. Step 5: Solve for x
    x = 5,954,566.95/2,544.63
  6. Step 6: Final answer
    x = 2,340.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.