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Finding the Fourth Proportional to 2,392.88, 3,588 and 1,093.64

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Solution

The fourth proportional to 2,392.88, 3,588 and 1,093.64 is: 1,639.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.88 : 3,588 = 1,093.64 : x
  2. Step 2: Convert to fraction form
    2,392.88/3,588 = 1,093.64/x
  3. Step 3: Cross multiply
    2,392.88x = 3,588 × 1,093.64
  4. Step 4: Simplify right side
    2,392.88x = 3,923,980.32
  5. Step 5: Solve for x
    x = 3,923,980.32/2,392.88
  6. Step 6: Final answer
    x = 1,639.86

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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.