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Finding the Fourth Proportional to 1,924.56, 2,886.72 and 625.86

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Solution

The fourth proportional to 1,924.56, 2,886.72 and 625.86 is: 938.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.56 : 2,886.72 = 625.86 : x
  2. Step 2: Convert to fraction form
    1,924.56/2,886.72 = 625.86/x
  3. Step 3: Cross multiply
    1,924.56x = 2,886.72 × 625.86
  4. Step 4: Simplify right side
    1,924.56x = 1,806,682.58
  5. Step 5: Solve for x
    x = 1,806,682.58/1,924.56
  6. Step 6: Final answer
    x = 938.75

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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.