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Finding the Fourth Proportional to 2,844, 4,265.76 and 969.75

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Solution

The fourth proportional to 2,844, 4,265.76 and 969.75 is: 1,454.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844 : 4,265.76 = 969.75 : x
  2. Step 2: Convert to fraction form
    2,844/4,265.76 = 969.75/x
  3. Step 3: Cross multiply
    2,844x = 4,265.76 × 969.75
  4. Step 4: Simplify right side
    2,844x = 4,136,720.76
  5. Step 5: Solve for x
    x = 4,136,720.76/2,844
  6. Step 6: Final answer
    x = 1,454.54

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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.