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Finding the Fourth Proportional to 1,922.98, 2,884.14 and 624.46

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Solution

The fourth proportional to 1,922.98, 2,884.14 and 624.46 is: 936.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.98 : 2,884.14 = 624.46 : x
  2. Step 2: Convert to fraction form
    1,922.98/2,884.14 = 624.46/x
  3. Step 3: Cross multiply
    1,922.98x = 2,884.14 × 624.46
  4. Step 4: Simplify right side
    1,922.98x = 1,801,030.06
  5. Step 5: Solve for x
    x = 1,801,030.06/1,922.98
  6. Step 6: Final answer
    x = 936.58

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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.