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Finding the Fourth Proportional to 2,382.54, 3,573.81 and 1,392.93

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Solution

The fourth proportional to 2,382.54, 3,573.81 and 1,392.93 is: 2,089.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.54 : 3,573.81 = 1,392.93 : x
  2. Step 2: Convert to fraction form
    2,382.54/3,573.81 = 1,392.93/x
  3. Step 3: Cross multiply
    2,382.54x = 3,573.81 × 1,392.93
  4. Step 4: Simplify right side
    2,382.54x = 4,978,067.16
  5. Step 5: Solve for x
    x = 4,978,067.16/2,382.54
  6. Step 6: Final answer
    x = 2,089.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.