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Finding the Fourth Proportional to 1,923.23, 2,883.89 and 624.53

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Solution

The fourth proportional to 1,923.23, 2,883.89 and 624.53 is: 936.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.23 : 2,883.89 = 624.53 : x
  2. Step 2: Convert to fraction form
    1,923.23/2,883.89 = 624.53/x
  3. Step 3: Cross multiply
    1,923.23x = 2,883.89 × 624.53
  4. Step 4: Simplify right side
    1,923.23x = 1,801,075.82
  5. Step 5: Solve for x
    x = 1,801,075.82/1,923.23
  6. Step 6: Final answer
    x = 936.48

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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.