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Finding the Fourth Proportional to 1,924.28, 2,886.72 and 625.44

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Solution

The fourth proportional to 1,924.28, 2,886.72 and 625.44 is: 938.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.28 : 2,886.72 = 625.44 : x
  2. Step 2: Convert to fraction form
    1,924.28/2,886.72 = 625.44/x
  3. Step 3: Cross multiply
    1,924.28x = 2,886.72 × 625.44
  4. Step 4: Simplify right side
    1,924.28x = 1,805,467.03
  5. Step 5: Solve for x
    x = 1,805,467.03/1,924.28
  6. Step 6: Final answer
    x = 938.26

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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.