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Finding the Fourth Proportional to 1,608.49, 2,218.28 and 1,011.05

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Solution

The fourth proportional to 1,608.49, 2,218.28 and 1,011.05 is: 1,394.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.49 : 2,218.28 = 1,011.05 : x
  2. Step 2: Convert to fraction form
    1,608.49/2,218.28 = 1,011.05/x
  3. Step 3: Cross multiply
    1,608.49x = 2,218.28 × 1,011.05
  4. Step 4: Simplify right side
    1,608.49x = 2,242,791.99
  5. Step 5: Solve for x
    x = 2,242,791.99/1,608.49
  6. Step 6: Final answer
    x = 1,394.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.