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Finding the Fourth Proportional to 1,897.12, 2,843.76 and 801.76

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Solution

The fourth proportional to 1,897.12, 2,843.76 and 801.76 is: 1,201.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.12 : 2,843.76 = 801.76 : x
  2. Step 2: Convert to fraction form
    1,897.12/2,843.76 = 801.76/x
  3. Step 3: Cross multiply
    1,897.12x = 2,843.76 × 801.76
  4. Step 4: Simplify right side
    1,897.12x = 2,280,013.02
  5. Step 5: Solve for x
    x = 2,280,013.02/1,897.12
  6. Step 6: Final answer
    x = 1,201.83

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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.