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Finding the Fourth Proportional to 1,291.62, 1,936.26 and 946.68

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Solution

The fourth proportional to 1,291.62, 1,936.26 and 946.68 is: 1,419.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.62 : 1,936.26 = 946.68 : x
  2. Step 2: Convert to fraction form
    1,291.62/1,936.26 = 946.68/x
  3. Step 3: Cross multiply
    1,291.62x = 1,936.26 × 946.68
  4. Step 4: Simplify right side
    1,291.62x = 1,833,018.62
  5. Step 5: Solve for x
    x = 1,833,018.62/1,291.62
  6. Step 6: Final answer
    x = 1,419.16

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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.