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Finding the Fourth Proportional to 1,472.14, 2,208.21 and 376.59

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Solution

The fourth proportional to 1,472.14, 2,208.21 and 376.59 is: 564.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.14 : 2,208.21 = 376.59 : x
  2. Step 2: Convert to fraction form
    1,472.14/2,208.21 = 376.59/x
  3. Step 3: Cross multiply
    1,472.14x = 2,208.21 × 376.59
  4. Step 4: Simplify right side
    1,472.14x = 831,589.80
  5. Step 5: Solve for x
    x = 831,589.80/1,472.14
  6. Step 6: Final answer
    x = 564.89

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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.