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Finding the Fourth Proportional to 2,645.84, 3,969.12 and 914

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Solution

The fourth proportional to 2,645.84, 3,969.12 and 914 is: 1,371.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.84 : 3,969.12 = 914 : x
  2. Step 2: Convert to fraction form
    2,645.84/3,969.12 = 914/x
  3. Step 3: Cross multiply
    2,645.84x = 3,969.12 × 914
  4. Step 4: Simplify right side
    2,645.84x = 3,627,775.68
  5. Step 5: Solve for x
    x = 3,627,775.68/2,645.84
  6. Step 6: Final answer
    x = 1,371.12

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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.