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Finding the Fourth Proportional to 2,574.57, 3,555.86 and 1,694.31

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Solution

The fourth proportional to 2,574.57, 3,555.86 and 1,694.31 is: 2,340.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.57 : 3,555.86 = 1,694.31 : x
  2. Step 2: Convert to fraction form
    2,574.57/3,555.86 = 1,694.31/x
  3. Step 3: Cross multiply
    2,574.57x = 3,555.86 × 1,694.31
  4. Step 4: Simplify right side
    2,574.57x = 6,024,729.16
  5. Step 5: Solve for x
    x = 6,024,729.16/2,574.57
  6. Step 6: Final answer
    x = 2,340.09

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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.