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Finding the Fourth Proportional to 2,091, 3,132.30 and 1,268.76

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Solution

The fourth proportional to 2,091, 3,132.30 and 1,268.76 is: 1,900.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091 : 3,132.30 = 1,268.76 : x
  2. Step 2: Convert to fraction form
    2,091/3,132.30 = 1,268.76/x
  3. Step 3: Cross multiply
    2,091x = 3,132.30 × 1,268.76
  4. Step 4: Simplify right side
    2,091x = 3,974,136.95
  5. Step 5: Solve for x
    x = 3,974,136.95/2,091
  6. Step 6: Final answer
    x = 1,900.59

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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.