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Finding the Fourth Proportional to 1,924.74, 2,653.92 and 1,644.12

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Solution

The fourth proportional to 1,924.74, 2,653.92 and 1,644.12 is: 2,266.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.74 : 2,653.92 = 1,644.12 : x
  2. Step 2: Convert to fraction form
    1,924.74/2,653.92 = 1,644.12/x
  3. Step 3: Cross multiply
    1,924.74x = 2,653.92 × 1,644.12
  4. Step 4: Simplify right side
    1,924.74x = 4,363,362.95
  5. Step 5: Solve for x
    x = 4,363,362.95/1,924.74
  6. Step 6: Final answer
    x = 2,266.99

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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.