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Finding the Fourth Proportional to 2,236.52, 3,352.02 and 1,585.88

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Solution

The fourth proportional to 2,236.52, 3,352.02 and 1,585.88 is: 2,376.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,236.52 : 3,352.02 = 1,585.88 : x
  2. Step 2: Convert to fraction form
    2,236.52/3,352.02 = 1,585.88/x
  3. Step 3: Cross multiply
    2,236.52x = 3,352.02 × 1,585.88
  4. Step 4: Simplify right side
    2,236.52x = 5,315,884.72
  5. Step 5: Solve for x
    x = 5,315,884.72/2,236.52
  6. Step 6: Final answer
    x = 2,376.86

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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.