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Finding the Fourth Proportional to 1,621.69, 2,237.97 and 959.11

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Solution

The fourth proportional to 1,621.69, 2,237.97 and 959.11 is: 1,323.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,621.69 : 2,237.97 = 959.11 : x
  2. Step 2: Convert to fraction form
    1,621.69/2,237.97 = 959.11/x
  3. Step 3: Cross multiply
    1,621.69x = 2,237.97 × 959.11
  4. Step 4: Simplify right side
    1,621.69x = 2,146,459.41
  5. Step 5: Solve for x
    x = 2,146,459.41/1,621.69
  6. Step 6: Final answer
    x = 1,323.59

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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.