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Finding the Fourth Proportional to 2,424.09, 3,633.90 and 964.26

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Solution

The fourth proportional to 2,424.09, 3,633.90 and 964.26 is: 1,445.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.09 : 3,633.90 = 964.26 : x
  2. Step 2: Convert to fraction form
    2,424.09/3,633.90 = 964.26/x
  3. Step 3: Cross multiply
    2,424.09x = 3,633.90 × 964.26
  4. Step 4: Simplify right side
    2,424.09x = 3,504,024.41
  5. Step 5: Solve for x
    x = 3,504,024.41/2,424.09
  6. Step 6: Final answer
    x = 1,445.50

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Why These Related Problems?

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