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Finding the Fourth Proportional to 2,761.26, 3,809.28 and 1,924.02

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Solution

The fourth proportional to 2,761.26, 3,809.28 and 1,924.02 is: 2,654.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.26 : 3,809.28 = 1,924.02 : x
  2. Step 2: Convert to fraction form
    2,761.26/3,809.28 = 1,924.02/x
  3. Step 3: Cross multiply
    2,761.26x = 3,809.28 × 1,924.02
  4. Step 4: Simplify right side
    2,761.26x = 7,329,130.91
  5. Step 5: Solve for x
    x = 7,329,130.91/2,761.26
  6. Step 6: Final answer
    x = 2,654.27

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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.