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Finding the Fourth Proportional to 2,428.12, 3,642.06 and 889

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Solution

The fourth proportional to 2,428.12, 3,642.06 and 889 is: 1,333.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.12 : 3,642.06 = 889 : x
  2. Step 2: Convert to fraction form
    2,428.12/3,642.06 = 889/x
  3. Step 3: Cross multiply
    2,428.12x = 3,642.06 × 889
  4. Step 4: Simplify right side
    2,428.12x = 3,237,791.34
  5. Step 5: Solve for x
    x = 3,237,791.34/2,428.12
  6. Step 6: Final answer
    x = 1,333.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.