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Finding the Fourth Proportional to 1,924.23, 2,885.01 and 949.59

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Solution

The fourth proportional to 1,924.23, 2,885.01 and 949.59 is: 1,423.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.23 : 2,885.01 = 949.59 : x
  2. Step 2: Convert to fraction form
    1,924.23/2,885.01 = 949.59/x
  3. Step 3: Cross multiply
    1,924.23x = 2,885.01 × 949.59
  4. Step 4: Simplify right side
    1,924.23x = 2,739,576.65
  5. Step 5: Solve for x
    x = 2,739,576.65/1,924.23
  6. Step 6: Final answer
    x = 1,423.73

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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.