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Finding the Fourth Proportional to 1,455.75, 2,181.49 and 906.26

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Solution

The fourth proportional to 1,455.75, 2,181.49 and 906.26 is: 1,358.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.75 : 2,181.49 = 906.26 : x
  2. Step 2: Convert to fraction form
    1,455.75/2,181.49 = 906.26/x
  3. Step 3: Cross multiply
    1,455.75x = 2,181.49 × 906.26
  4. Step 4: Simplify right side
    1,455.75x = 1,976,997.13
  5. Step 5: Solve for x
    x = 1,976,997.13/1,455.75
  6. Step 6: Final answer
    x = 1,358.06

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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.