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Finding the Fourth Proportional to 1,291.80, 1,936.46 and 641.90

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Solution

The fourth proportional to 1,291.80, 1,936.46 and 641.90 is: 962.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.80 : 1,936.46 = 641.90 : x
  2. Step 2: Convert to fraction form
    1,291.80/1,936.46 = 641.90/x
  3. Step 3: Cross multiply
    1,291.80x = 1,936.46 × 641.90
  4. Step 4: Simplify right side
    1,291.80x = 1,243,013.67
  5. Step 5: Solve for x
    x = 1,243,013.67/1,291.80
  6. Step 6: Final answer
    x = 962.23

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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.