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Finding the Fourth Proportional to 1,921.13, 2,880.97 and 622.25

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Solution

The fourth proportional to 1,921.13, 2,880.97 and 622.25 is: 933.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.13 : 2,880.97 = 622.25 : x
  2. Step 2: Convert to fraction form
    1,921.13/2,880.97 = 622.25/x
  3. Step 3: Cross multiply
    1,921.13x = 2,880.97 × 622.25
  4. Step 4: Simplify right side
    1,921.13x = 1,792,683.58
  5. Step 5: Solve for x
    x = 1,792,683.58/1,921.13
  6. Step 6: Final answer
    x = 933.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.