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Finding the Fourth Proportional to 1,923.17, 2,885.21 and 624.65

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Solution

The fourth proportional to 1,923.17, 2,885.21 and 624.65 is: 937.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.17 : 2,885.21 = 624.65 : x
  2. Step 2: Convert to fraction form
    1,923.17/2,885.21 = 624.65/x
  3. Step 3: Cross multiply
    1,923.17x = 2,885.21 × 624.65
  4. Step 4: Simplify right side
    1,923.17x = 1,802,233.56
  5. Step 5: Solve for x
    x = 1,802,233.56/1,923.17
  6. Step 6: Final answer
    x = 937.11

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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.