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Finding the Fourth Proportional to 2,560.07, 3,832.61 and 1,946.22

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Solution

The fourth proportional to 2,560.07, 3,832.61 and 1,946.22 is: 2,913.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.07 : 3,832.61 = 1,946.22 : x
  2. Step 2: Convert to fraction form
    2,560.07/3,832.61 = 1,946.22/x
  3. Step 3: Cross multiply
    2,560.07x = 3,832.61 × 1,946.22
  4. Step 4: Simplify right side
    2,560.07x = 7,459,092.50
  5. Step 5: Solve for x
    x = 7,459,092.50/2,560.07
  6. Step 6: Final answer
    x = 2,913.63

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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.