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Finding the Fourth Proportional to 3,053.09, 4,576.09 and 1,406.18

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Solution

The fourth proportional to 3,053.09, 4,576.09 and 1,406.18 is: 2,107.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.09 : 4,576.09 = 1,406.18 : x
  2. Step 2: Convert to fraction form
    3,053.09/4,576.09 = 1,406.18/x
  3. Step 3: Cross multiply
    3,053.09x = 4,576.09 × 1,406.18
  4. Step 4: Simplify right side
    3,053.09x = 6,434,806.24
  5. Step 5: Solve for x
    x = 6,434,806.24/3,053.09
  6. Step 6: Final answer
    x = 2,107.64

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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.