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Finding the Fourth Proportional to 2,317.92, 3,199.04 and 1,323.39

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Solution

The fourth proportional to 2,317.92, 3,199.04 and 1,323.39 is: 1,826.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.92 : 3,199.04 = 1,323.39 : x
  2. Step 2: Convert to fraction form
    2,317.92/3,199.04 = 1,323.39/x
  3. Step 3: Cross multiply
    2,317.92x = 3,199.04 × 1,323.39
  4. Step 4: Simplify right side
    2,317.92x = 4,233,577.55
  5. Step 5: Solve for x
    x = 4,233,577.55/2,317.92
  6. Step 6: Final answer
    x = 1,826.46

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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.