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Finding the Fourth Proportional to 1,759.57, 2,640.65 and 835.12

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Solution

The fourth proportional to 1,759.57, 2,640.65 and 835.12 is: 1,253.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.57 : 2,640.65 = 835.12 : x
  2. Step 2: Convert to fraction form
    1,759.57/2,640.65 = 835.12/x
  3. Step 3: Cross multiply
    1,759.57x = 2,640.65 × 835.12
  4. Step 4: Simplify right side
    1,759.57x = 2,205,259.63
  5. Step 5: Solve for x
    x = 2,205,259.63/1,759.57
  6. Step 6: Final answer
    x = 1,253.29

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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.