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Finding the Fourth Proportional to 4,012.74, 6,019.43 and 1,090.98

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Solution

The fourth proportional to 4,012.74, 6,019.43 and 1,090.98 is: 1,636.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,012.74 : 6,019.43 = 1,090.98 : x
  2. Step 2: Convert to fraction form
    4,012.74/6,019.43 = 1,090.98/x
  3. Step 3: Cross multiply
    4,012.74x = 6,019.43 × 1,090.98
  4. Step 4: Simplify right side
    4,012.74x = 6,567,072.29
  5. Step 5: Solve for x
    x = 6,567,072.29/4,012.74
  6. Step 6: Final answer
    x = 1,636.56

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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.