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Finding the Fourth Proportional to 2,077.41, 3,117.87 and 982.56

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Solution

The fourth proportional to 2,077.41, 3,117.87 and 982.56 is: 1,474.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.41 : 3,117.87 = 982.56 : x
  2. Step 2: Convert to fraction form
    2,077.41/3,117.87 = 982.56/x
  3. Step 3: Cross multiply
    2,077.41x = 3,117.87 × 982.56
  4. Step 4: Simplify right side
    2,077.41x = 3,063,494.35
  5. Step 5: Solve for x
    x = 3,063,494.35/2,077.41
  6. Step 6: Final answer
    x = 1,474.67

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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.