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Finding the Fourth Proportional to 1,924.32, 2,880.72 and 1,238.88

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Solution

The fourth proportional to 1,924.32, 2,880.72 and 1,238.88 is: 1,854.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.32 : 2,880.72 = 1,238.88 : x
  2. Step 2: Convert to fraction form
    1,924.32/2,880.72 = 1,238.88/x
  3. Step 3: Cross multiply
    1,924.32x = 2,880.72 × 1,238.88
  4. Step 4: Simplify right side
    1,924.32x = 3,568,866.39
  5. Step 5: Solve for x
    x = 3,568,866.39/1,924.32
  6. Step 6: Final answer
    x = 1,854.61

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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.