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Finding the Fourth Proportional to 1,846.47, 2,757.47 and 1,622.91

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Solution

The fourth proportional to 1,846.47, 2,757.47 and 1,622.91 is: 2,423.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.47 : 2,757.47 = 1,622.91 : x
  2. Step 2: Convert to fraction form
    1,846.47/2,757.47 = 1,622.91/x
  3. Step 3: Cross multiply
    1,846.47x = 2,757.47 × 1,622.91
  4. Step 4: Simplify right side
    1,846.47x = 4,475,117.52
  5. Step 5: Solve for x
    x = 4,475,117.52/1,846.47
  6. Step 6: Final answer
    x = 2,423.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.