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Finding the Fourth Proportional to 2,329, 3,215.64 and 1,631.32

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Solution

The fourth proportional to 2,329, 3,215.64 and 1,631.32 is: 2,252.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329 : 3,215.64 = 1,631.32 : x
  2. Step 2: Convert to fraction form
    2,329/3,215.64 = 1,631.32/x
  3. Step 3: Cross multiply
    2,329x = 3,215.64 × 1,631.32
  4. Step 4: Simplify right side
    2,329x = 5,245,737.84
  5. Step 5: Solve for x
    x = 5,245,737.84/2,329
  6. Step 6: Final answer
    x = 2,252.36

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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.