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Finding the Fourth Proportional to 2,392.21, 3,586.15 and 852.85

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Solution

The fourth proportional to 2,392.21, 3,586.15 and 852.85 is: 1,278.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.21 : 3,586.15 = 852.85 : x
  2. Step 2: Convert to fraction form
    2,392.21/3,586.15 = 852.85/x
  3. Step 3: Cross multiply
    2,392.21x = 3,586.15 × 852.85
  4. Step 4: Simplify right side
    2,392.21x = 3,058,448.03
  5. Step 5: Solve for x
    x = 3,058,448.03/2,392.21
  6. Step 6: Final answer
    x = 1,278.50

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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.