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Finding the Fourth Proportional to 1,940.34, 2,908.29 and 964.26

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Solution

The fourth proportional to 1,940.34, 2,908.29 and 964.26 is: 1,445.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940.34 : 2,908.29 = 964.26 : x
  2. Step 2: Convert to fraction form
    1,940.34/2,908.29 = 964.26/x
  3. Step 3: Cross multiply
    1,940.34x = 2,908.29 × 964.26
  4. Step 4: Simplify right side
    1,940.34x = 2,804,347.72
  5. Step 5: Solve for x
    x = 2,804,347.72/1,940.34
  6. Step 6: Final answer
    x = 1,445.29

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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.