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Finding the Fourth Proportional to 1,759.60, 2,638.24 and 833.84

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Solution

The fourth proportional to 1,759.60, 2,638.24 and 833.84 is: 1,250.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.60 : 2,638.24 = 833.84 : x
  2. Step 2: Convert to fraction form
    1,759.60/2,638.24 = 833.84/x
  3. Step 3: Cross multiply
    1,759.60x = 2,638.24 × 833.84
  4. Step 4: Simplify right side
    1,759.60x = 2,199,870.04
  5. Step 5: Solve for x
    x = 2,199,870.04/1,759.60
  6. Step 6: Final answer
    x = 1,250.21

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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.