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Finding the Fourth Proportional to 1,291.09, 1,936.66 and 425.41

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Solution

The fourth proportional to 1,291.09, 1,936.66 and 425.41 is: 638.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.09 : 1,936.66 = 425.41 : x
  2. Step 2: Convert to fraction form
    1,291.09/1,936.66 = 425.41/x
  3. Step 3: Cross multiply
    1,291.09x = 1,936.66 × 425.41
  4. Step 4: Simplify right side
    1,291.09x = 823,874.53
  5. Step 5: Solve for x
    x = 823,874.53/1,291.09
  6. Step 6: Final answer
    x = 638.12

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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.