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Finding the Fourth Proportional to 1,894.34, 2,825.97 and 1,761.77

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Solution

The fourth proportional to 1,894.34, 2,825.97 and 1,761.77 is: 2,628.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.34 : 2,825.97 = 1,761.77 : x
  2. Step 2: Convert to fraction form
    1,894.34/2,825.97 = 1,761.77/x
  3. Step 3: Cross multiply
    1,894.34x = 2,825.97 × 1,761.77
  4. Step 4: Simplify right side
    1,894.34x = 4,978,695.04
  5. Step 5: Solve for x
    x = 4,978,695.04/1,894.34
  6. Step 6: Final answer
    x = 2,628.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.