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Finding the Fourth Proportional to 1,476.89, 2,215.33 and 381.25

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Solution

The fourth proportional to 1,476.89, 2,215.33 and 381.25 is: 571.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.89 : 2,215.33 = 381.25 : x
  2. Step 2: Convert to fraction form
    1,476.89/2,215.33 = 381.25/x
  3. Step 3: Cross multiply
    1,476.89x = 2,215.33 × 381.25
  4. Step 4: Simplify right side
    1,476.89x = 844,594.56
  5. Step 5: Solve for x
    x = 844,594.56/1,476.89
  6. Step 6: Final answer
    x = 571.87

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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.