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Finding the Fourth Proportional to 1,618.76, 2,233.92 and 920.16

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Solution

The fourth proportional to 1,618.76, 2,233.92 and 920.16 is: 1,269.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.76 : 2,233.92 = 920.16 : x
  2. Step 2: Convert to fraction form
    1,618.76/2,233.92 = 920.16/x
  3. Step 3: Cross multiply
    1,618.76x = 2,233.92 × 920.16
  4. Step 4: Simplify right side
    1,618.76x = 2,055,563.83
  5. Step 5: Solve for x
    x = 2,055,563.83/1,618.76
  6. Step 6: Final answer
    x = 1,269.84

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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.