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Finding the Fourth Proportional to 1,618.71, 2,233.80 and 920.04

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Solution

The fourth proportional to 1,618.71, 2,233.80 and 920.04 is: 1,269.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.71 : 2,233.80 = 920.04 : x
  2. Step 2: Convert to fraction form
    1,618.71/2,233.80 = 920.04/x
  3. Step 3: Cross multiply
    1,618.71x = 2,233.80 × 920.04
  4. Step 4: Simplify right side
    1,618.71x = 2,055,185.35
  5. Step 5: Solve for x
    x = 2,055,185.35/1,618.71
  6. Step 6: Final answer
    x = 1,269.64

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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.