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Finding the Fourth Proportional to 1,909.06, 2,863.38 and 610.36

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Solution

The fourth proportional to 1,909.06, 2,863.38 and 610.36 is: 915.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.06 : 2,863.38 = 610.36 : x
  2. Step 2: Convert to fraction form
    1,909.06/2,863.38 = 610.36/x
  3. Step 3: Cross multiply
    1,909.06x = 2,863.38 × 610.36
  4. Step 4: Simplify right side
    1,909.06x = 1,747,692.62
  5. Step 5: Solve for x
    x = 1,747,692.62/1,909.06
  6. Step 6: Final answer
    x = 915.47

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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.