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Finding the Fourth Proportional to 1,896.08, 2,843.84 and 597.38

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Solution

The fourth proportional to 1,896.08, 2,843.84 and 597.38 is: 895.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.08 : 2,843.84 = 597.38 : x
  2. Step 2: Convert to fraction form
    1,896.08/2,843.84 = 597.38/x
  3. Step 3: Cross multiply
    1,896.08x = 2,843.84 × 597.38
  4. Step 4: Simplify right side
    1,896.08x = 1,698,840.41
  5. Step 5: Solve for x
    x = 1,698,840.41/1,896.08
  6. Step 6: Final answer
    x = 895.98

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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.