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Finding the Fourth Proportional to 1,745.81, 2,617.94 and 1,256.82

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Solution

The fourth proportional to 1,745.81, 2,617.94 and 1,256.82 is: 1,884.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.81 : 2,617.94 = 1,256.82 : x
  2. Step 2: Convert to fraction form
    1,745.81/2,617.94 = 1,256.82/x
  3. Step 3: Cross multiply
    1,745.81x = 2,617.94 × 1,256.82
  4. Step 4: Simplify right side
    1,745.81x = 3,290,273.07
  5. Step 5: Solve for x
    x = 3,290,273.07/1,745.81
  6. Step 6: Final answer
    x = 1,884.67

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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.