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Finding the Fourth Proportional to 1,673.24, 2,309.36 and 964.96

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Solution

The fourth proportional to 1,673.24, 2,309.36 and 964.96 is: 1,331.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.24 : 2,309.36 = 964.96 : x
  2. Step 2: Convert to fraction form
    1,673.24/2,309.36 = 964.96/x
  3. Step 3: Cross multiply
    1,673.24x = 2,309.36 × 964.96
  4. Step 4: Simplify right side
    1,673.24x = 2,228,428.48
  5. Step 5: Solve for x
    x = 2,228,428.48/1,673.24
  6. Step 6: Final answer
    x = 1,331.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.