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Finding the Fourth Proportional to 2,392.84, 3,585 and 2,042.61

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Solution

The fourth proportional to 2,392.84, 3,585 and 2,042.61 is: 3,060.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.84 : 3,585 = 2,042.61 : x
  2. Step 2: Convert to fraction form
    2,392.84/3,585 = 2,042.61/x
  3. Step 3: Cross multiply
    2,392.84x = 3,585 × 2,042.61
  4. Step 4: Simplify right side
    2,392.84x = 7,322,756.85
  5. Step 5: Solve for x
    x = 7,322,756.85/2,392.84
  6. Step 6: Final answer
    x = 3,060.28

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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.