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Finding the Fourth Proportional to 1,897.73, 2,846.60 and 858.09

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Solution

The fourth proportional to 1,897.73, 2,846.60 and 858.09 is: 1,287.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.73 : 2,846.60 = 858.09 : x
  2. Step 2: Convert to fraction form
    1,897.73/2,846.60 = 858.09/x
  3. Step 3: Cross multiply
    1,897.73x = 2,846.60 × 858.09
  4. Step 4: Simplify right side
    1,897.73x = 2,442,634.70
  5. Step 5: Solve for x
    x = 2,442,634.70/1,897.73
  6. Step 6: Final answer
    x = 1,287.14

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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.