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Finding the Fourth Proportional to 2,323.16, 3,206.04 and 1,379.44

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Solution

The fourth proportional to 2,323.16, 3,206.04 and 1,379.44 is: 1,903.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.16 : 3,206.04 = 1,379.44 : x
  2. Step 2: Convert to fraction form
    2,323.16/3,206.04 = 1,379.44/x
  3. Step 3: Cross multiply
    2,323.16x = 3,206.04 × 1,379.44
  4. Step 4: Simplify right side
    2,323.16x = 4,422,539.82
  5. Step 5: Solve for x
    x = 4,422,539.82/2,323.16
  6. Step 6: Final answer
    x = 1,903.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.