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Finding the Fourth Proportional to 2,647.74, 3,651.32 and 1,929.24

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Solution

The fourth proportional to 2,647.74, 3,651.32 and 1,929.24 is: 2,660.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.74 : 3,651.32 = 1,929.24 : x
  2. Step 2: Convert to fraction form
    2,647.74/3,651.32 = 1,929.24/x
  3. Step 3: Cross multiply
    2,647.74x = 3,651.32 × 1,929.24
  4. Step 4: Simplify right side
    2,647.74x = 7,044,272.60
  5. Step 5: Solve for x
    x = 7,044,272.60/2,647.74
  6. Step 6: Final answer
    x = 2,660.49

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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.