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Finding the Fourth Proportional to 2,415.23, 3,622.06 and 771.39

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Solution

The fourth proportional to 2,415.23, 3,622.06 and 771.39 is: 1,156.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.23 : 3,622.06 = 771.39 : x
  2. Step 2: Convert to fraction form
    2,415.23/3,622.06 = 771.39/x
  3. Step 3: Cross multiply
    2,415.23x = 3,622.06 × 771.39
  4. Step 4: Simplify right side
    2,415.23x = 2,793,998.90
  5. Step 5: Solve for x
    x = 2,793,998.90/2,415.23
  6. Step 6: Final answer
    x = 1,156.83

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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.