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Finding the Fourth Proportional to 2,594.46, 3,581.38 and 1,754.76

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Solution

The fourth proportional to 2,594.46, 3,581.38 and 1,754.76 is: 2,422.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.46 : 3,581.38 = 1,754.76 : x
  2. Step 2: Convert to fraction form
    2,594.46/3,581.38 = 1,754.76/x
  3. Step 3: Cross multiply
    2,594.46x = 3,581.38 × 1,754.76
  4. Step 4: Simplify right side
    2,594.46x = 6,284,440.08
  5. Step 5: Solve for x
    x = 6,284,440.08/2,594.46
  6. Step 6: Final answer
    x = 2,422.26

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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.