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Finding the Fourth Proportional to 2,702.91, 4,052.38 and 1,823.22

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Solution

The fourth proportional to 2,702.91, 4,052.38 and 1,823.22 is: 2,733.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.91 : 4,052.38 = 1,823.22 : x
  2. Step 2: Convert to fraction form
    2,702.91/4,052.38 = 1,823.22/x
  3. Step 3: Cross multiply
    2,702.91x = 4,052.38 × 1,823.22
  4. Step 4: Simplify right side
    2,702.91x = 7,388,380.26
  5. Step 5: Solve for x
    x = 7,388,380.26/2,702.91
  6. Step 6: Final answer
    x = 2,733.50

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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.