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Finding the Fourth Proportional to 1,231.24, 1,847.13 and 353.74

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Solution

The fourth proportional to 1,231.24, 1,847.13 and 353.74 is: 530.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.24 : 1,847.13 = 353.74 : x
  2. Step 2: Convert to fraction form
    1,231.24/1,847.13 = 353.74/x
  3. Step 3: Cross multiply
    1,231.24x = 1,847.13 × 353.74
  4. Step 4: Simplify right side
    1,231.24x = 653,403.77
  5. Step 5: Solve for x
    x = 653,403.77/1,231.24
  6. Step 6: Final answer
    x = 530.69

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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.