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Finding the Fourth Proportional to 3,063.46, 4,594.26 and 982.96

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Solution

The fourth proportional to 3,063.46, 4,594.26 and 982.96 is: 1,474.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,063.46 : 4,594.26 = 982.96 : x
  2. Step 2: Convert to fraction form
    3,063.46/4,594.26 = 982.96/x
  3. Step 3: Cross multiply
    3,063.46x = 4,594.26 × 982.96
  4. Step 4: Simplify right side
    3,063.46x = 4,515,973.81
  5. Step 5: Solve for x
    x = 4,515,973.81/3,063.46
  6. Step 6: Final answer
    x = 1,474.14

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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.