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Finding the Fourth Proportional to 2,645.12, 3,969.51 and 913.76

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Solution

The fourth proportional to 2,645.12, 3,969.51 and 913.76 is: 1,371.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.12 : 3,969.51 = 913.76 : x
  2. Step 2: Convert to fraction form
    2,645.12/3,969.51 = 913.76/x
  3. Step 3: Cross multiply
    2,645.12x = 3,969.51 × 913.76
  4. Step 4: Simplify right side
    2,645.12x = 3,627,179.46
  5. Step 5: Solve for x
    x = 3,627,179.46/2,645.12
  6. Step 6: Final answer
    x = 1,371.27

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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.