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Finding the Fourth Proportional to 1,896.35, 2,844.29 and 800.57

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Solution

The fourth proportional to 1,896.35, 2,844.29 and 800.57 is: 1,200.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.35 : 2,844.29 = 800.57 : x
  2. Step 2: Convert to fraction form
    1,896.35/2,844.29 = 800.57/x
  3. Step 3: Cross multiply
    1,896.35x = 2,844.29 × 800.57
  4. Step 4: Simplify right side
    1,896.35x = 2,277,038.02
  5. Step 5: Solve for x
    x = 2,277,038.02/1,896.35
  6. Step 6: Final answer
    x = 1,200.75

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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.