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Finding the Fourth Proportional to 2,467.63, 3,701.44 and 643.63

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Solution

The fourth proportional to 2,467.63, 3,701.44 and 643.63 is: 965.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.63 : 3,701.44 = 643.63 : x
  2. Step 2: Convert to fraction form
    2,467.63/3,701.44 = 643.63/x
  3. Step 3: Cross multiply
    2,467.63x = 3,701.44 × 643.63
  4. Step 4: Simplify right side
    2,467.63x = 2,382,337.71
  5. Step 5: Solve for x
    x = 2,382,337.71/2,467.63
  6. Step 6: Final answer
    x = 965.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.