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Finding the Fourth Proportional to 1,346.90, 2,020.62 and 936.14

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Solution

The fourth proportional to 1,346.90, 2,020.62 and 936.14 is: 1,404.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.90 : 2,020.62 = 936.14 : x
  2. Step 2: Convert to fraction form
    1,346.90/2,020.62 = 936.14/x
  3. Step 3: Cross multiply
    1,346.90x = 2,020.62 × 936.14
  4. Step 4: Simplify right side
    1,346.90x = 1,891,583.21
  5. Step 5: Solve for x
    x = 1,891,583.21/1,346.90
  6. Step 6: Final answer
    x = 1,404.40

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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.