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Finding the Fourth Proportional to 1,897.07, 2,843.64 and 921.96

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Solution

The fourth proportional to 1,897.07, 2,843.64 and 921.96 is: 1,381.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.07 : 2,843.64 = 921.96 : x
  2. Step 2: Convert to fraction form
    1,897.07/2,843.64 = 921.96/x
  3. Step 3: Cross multiply
    1,897.07x = 2,843.64 × 921.96
  4. Step 4: Simplify right side
    1,897.07x = 2,621,722.33
  5. Step 5: Solve for x
    x = 2,621,722.33/1,897.07
  6. Step 6: Final answer
    x = 1,381.99

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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.