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Finding the Fourth Proportional to 1,920.74, 2,881.47 and 622.04

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Solution

The fourth proportional to 1,920.74, 2,881.47 and 622.04 is: 933.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.74 : 2,881.47 = 622.04 : x
  2. Step 2: Convert to fraction form
    1,920.74/2,881.47 = 622.04/x
  3. Step 3: Cross multiply
    1,920.74x = 2,881.47 × 622.04
  4. Step 4: Simplify right side
    1,920.74x = 1,792,389.60
  5. Step 5: Solve for x
    x = 1,792,389.60/1,920.74
  6. Step 6: Final answer
    x = 933.18

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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.