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Finding the Fourth Proportional to 2,146.09, 3,219.59 and 759.47

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Solution

The fourth proportional to 2,146.09, 3,219.59 and 759.47 is: 1,139.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.09 : 3,219.59 = 759.47 : x
  2. Step 2: Convert to fraction form
    2,146.09/3,219.59 = 759.47/x
  3. Step 3: Cross multiply
    2,146.09x = 3,219.59 × 759.47
  4. Step 4: Simplify right side
    2,146.09x = 2,445,182.02
  5. Step 5: Solve for x
    x = 2,445,182.02/2,146.09
  6. Step 6: Final answer
    x = 1,139.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.