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Finding the Fourth Proportional to 1,905.97, 2,858.40 and 865.42

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Solution

The fourth proportional to 1,905.97, 2,858.40 and 865.42 is: 1,297.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.97 : 2,858.40 = 865.42 : x
  2. Step 2: Convert to fraction form
    1,905.97/2,858.40 = 865.42/x
  3. Step 3: Cross multiply
    1,905.97x = 2,858.40 × 865.42
  4. Step 4: Simplify right side
    1,905.97x = 2,473,702.24
  5. Step 5: Solve for x
    x = 2,473,702.24/1,905.97
  6. Step 6: Final answer
    x = 1,297.87

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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.