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Finding the Fourth Proportional to 2,180.79, 3,008.50 and 1,296.09

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Solution

The fourth proportional to 2,180.79, 3,008.50 and 1,296.09 is: 1,788.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.79 : 3,008.50 = 1,296.09 : x
  2. Step 2: Convert to fraction form
    2,180.79/3,008.50 = 1,296.09/x
  3. Step 3: Cross multiply
    2,180.79x = 3,008.50 × 1,296.09
  4. Step 4: Simplify right side
    2,180.79x = 3,899,283.52
  5. Step 5: Solve for x
    x = 3,899,283.52/2,180.79
  6. Step 6: Final answer
    x = 1,788.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.