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Finding the Fourth Proportional to 2,324, 3,208.74 and 1,626.32

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Solution

The fourth proportional to 2,324, 3,208.74 and 1,626.32 is: 2,245.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324 : 3,208.74 = 1,626.32 : x
  2. Step 2: Convert to fraction form
    2,324/3,208.74 = 1,626.32/x
  3. Step 3: Cross multiply
    2,324x = 3,208.74 × 1,626.32
  4. Step 4: Simplify right side
    2,324x = 5,218,438.04
  5. Step 5: Solve for x
    x = 5,218,438.04/2,324
  6. Step 6: Final answer
    x = 2,245.46

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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.