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Finding the Fourth Proportional to 1,224.40, 1,836.57 and 299.93

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Solution

The fourth proportional to 1,224.40, 1,836.57 and 299.93 is: 449.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.40 : 1,836.57 = 299.93 : x
  2. Step 2: Convert to fraction form
    1,224.40/1,836.57 = 299.93/x
  3. Step 3: Cross multiply
    1,224.40x = 1,836.57 × 299.93
  4. Step 4: Simplify right side
    1,224.40x = 550,842.44
  5. Step 5: Solve for x
    x = 550,842.44/1,224.40
  6. Step 6: Final answer
    x = 449.89

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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.