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Finding the Fourth Proportional to 2,713.74, 4,071.23 and 982.37

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Solution

The fourth proportional to 2,713.74, 4,071.23 and 982.37 is: 1,473.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.74 : 4,071.23 = 982.37 : x
  2. Step 2: Convert to fraction form
    2,713.74/4,071.23 = 982.37/x
  3. Step 3: Cross multiply
    2,713.74x = 4,071.23 × 982.37
  4. Step 4: Simplify right side
    2,713.74x = 3,999,428.95
  5. Step 5: Solve for x
    x = 3,999,428.95/2,713.74
  6. Step 6: Final answer
    x = 1,473.77

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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.