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Finding the Fourth Proportional to 1,618.50, 2,233.54 and 919.88

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Solution

The fourth proportional to 1,618.50, 2,233.54 and 919.88 is: 1,269.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.50 : 2,233.54 = 919.88 : x
  2. Step 2: Convert to fraction form
    1,618.50/2,233.54 = 919.88/x
  3. Step 3: Cross multiply
    1,618.50x = 2,233.54 × 919.88
  4. Step 4: Simplify right side
    1,618.50x = 2,054,588.78
  5. Step 5: Solve for x
    x = 2,054,588.78/1,618.50
  6. Step 6: Final answer
    x = 1,269.44

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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.