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Finding the Fourth Proportional to 1,616.15, 2,228.00 and 1,266.23

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Solution

The fourth proportional to 1,616.15, 2,228.00 and 1,266.23 is: 1,745.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.15 : 2,228.00 = 1,266.23 : x
  2. Step 2: Convert to fraction form
    1,616.15/2,228.00 = 1,266.23/x
  3. Step 3: Cross multiply
    1,616.15x = 2,228.00 × 1,266.23
  4. Step 4: Simplify right side
    1,616.15x = 2,821,159.68
  5. Step 5: Solve for x
    x = 2,821,159.68/1,616.15
  6. Step 6: Final answer
    x = 1,745.60

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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.