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Finding the Fourth Proportional to 1,897.78, 2,846.68 and 665.20

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Solution

The fourth proportional to 1,897.78, 2,846.68 and 665.20 is: 997.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.78 : 2,846.68 = 665.20 : x
  2. Step 2: Convert to fraction form
    1,897.78/2,846.68 = 665.20/x
  3. Step 3: Cross multiply
    1,897.78x = 2,846.68 × 665.20
  4. Step 4: Simplify right side
    1,897.78x = 1,893,611.54
  5. Step 5: Solve for x
    x = 1,893,611.54/1,897.78
  6. Step 6: Final answer
    x = 997.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.