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Finding the Fourth Proportional to 1,291.32, 1,936.98 and 1,270.68

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Solution

The fourth proportional to 1,291.32, 1,936.98 and 1,270.68 is: 1,906.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.32 : 1,936.98 = 1,270.68 : x
  2. Step 2: Convert to fraction form
    1,291.32/1,936.98 = 1,270.68/x
  3. Step 3: Cross multiply
    1,291.32x = 1,936.98 × 1,270.68
  4. Step 4: Simplify right side
    1,291.32x = 2,461,281.75
  5. Step 5: Solve for x
    x = 2,461,281.75/1,291.32
  6. Step 6: Final answer
    x = 1,906.02

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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.