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Finding the Fourth Proportional to 1,618.54, 2,233.74 and 920.05

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Solution

The fourth proportional to 1,618.54, 2,233.74 and 920.05 is: 1,269.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.54 : 2,233.74 = 920.05 : x
  2. Step 2: Convert to fraction form
    1,618.54/2,233.74 = 920.05/x
  3. Step 3: Cross multiply
    1,618.54x = 2,233.74 × 920.05
  4. Step 4: Simplify right side
    1,618.54x = 2,055,152.49
  5. Step 5: Solve for x
    x = 2,055,152.49/1,618.54
  6. Step 6: Final answer
    x = 1,269.76

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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.