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Finding the Fourth Proportional to 1,761.57, 2,642.22 and 835.74

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Solution

The fourth proportional to 1,761.57, 2,642.22 and 835.74 is: 1,253.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.57 : 2,642.22 = 835.74 : x
  2. Step 2: Convert to fraction form
    1,761.57/2,642.22 = 835.74/x
  3. Step 3: Cross multiply
    1,761.57x = 2,642.22 × 835.74
  4. Step 4: Simplify right side
    1,761.57x = 2,208,208.94
  5. Step 5: Solve for x
    x = 2,208,208.94/1,761.57
  6. Step 6: Final answer
    x = 1,253.55

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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.