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Finding the Fourth Proportional to 1,897.70, 2,846.55 and 1,824.80

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Solution

The fourth proportional to 1,897.70, 2,846.55 and 1,824.80 is: 2,737.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.70 : 2,846.55 = 1,824.80 : x
  2. Step 2: Convert to fraction form
    1,897.70/2,846.55 = 1,824.80/x
  3. Step 3: Cross multiply
    1,897.70x = 2,846.55 × 1,824.80
  4. Step 4: Simplify right side
    1,897.70x = 5,194,384.44
  5. Step 5: Solve for x
    x = 5,194,384.44/1,897.70
  6. Step 6: Final answer
    x = 2,737.20

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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.