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Finding the Fourth Proportional to 2,636.98, 3,955.80 and 971.21

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Solution

The fourth proportional to 2,636.98, 3,955.80 and 971.21 is: 1,456.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,636.98 : 3,955.80 = 971.21 : x
  2. Step 2: Convert to fraction form
    2,636.98/3,955.80 = 971.21/x
  3. Step 3: Cross multiply
    2,636.98x = 3,955.80 × 971.21
  4. Step 4: Simplify right side
    2,636.98x = 3,841,912.52
  5. Step 5: Solve for x
    x = 3,841,912.52/2,636.98
  6. Step 6: Final answer
    x = 1,456.94

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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.