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Finding the Fourth Proportional to 2,428.87, 3,643.67 and 889.75

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Solution

The fourth proportional to 2,428.87, 3,643.67 and 889.75 is: 1,334.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.87 : 3,643.67 = 889.75 : x
  2. Step 2: Convert to fraction form
    2,428.87/3,643.67 = 889.75/x
  3. Step 3: Cross multiply
    2,428.87x = 3,643.67 × 889.75
  4. Step 4: Simplify right side
    2,428.87x = 3,241,955.38
  5. Step 5: Solve for x
    x = 3,241,955.38/2,428.87
  6. Step 6: Final answer
    x = 1,334.76

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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.