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Finding the Fourth Proportional to 1,922.84, 2,884.44 and 623.96

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Solution

The fourth proportional to 1,922.84, 2,884.44 and 623.96 is: 936.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.84 : 2,884.44 = 623.96 : x
  2. Step 2: Convert to fraction form
    1,922.84/2,884.44 = 623.96/x
  3. Step 3: Cross multiply
    1,922.84x = 2,884.44 × 623.96
  4. Step 4: Simplify right side
    1,922.84x = 1,799,775.18
  5. Step 5: Solve for x
    x = 1,799,775.18/1,922.84
  6. Step 6: Final answer
    x = 936.00

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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.