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Finding the Fourth Proportional to 3,054.74, 4,576.21 and 1,823.14

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Solution

The fourth proportional to 3,054.74, 4,576.21 and 1,823.14 is: 2,731.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.74 : 4,576.21 = 1,823.14 : x
  2. Step 2: Convert to fraction form
    3,054.74/4,576.21 = 1,823.14/x
  3. Step 3: Cross multiply
    3,054.74x = 4,576.21 × 1,823.14
  4. Step 4: Simplify right side
    3,054.74x = 8,343,048.62
  5. Step 5: Solve for x
    x = 8,343,048.62/3,054.74
  6. Step 6: Final answer
    x = 2,731.18

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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.