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Finding the Fourth Proportional to 3,053.29, 4,576.84 and 1,205.71

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Solution

The fourth proportional to 3,053.29, 4,576.84 and 1,205.71 is: 1,807.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.29 : 4,576.84 = 1,205.71 : x
  2. Step 2: Convert to fraction form
    3,053.29/4,576.84 = 1,205.71/x
  3. Step 3: Cross multiply
    3,053.29x = 4,576.84 × 1,205.71
  4. Step 4: Simplify right side
    3,053.29x = 5,518,331.82
  5. Step 5: Solve for x
    x = 5,518,331.82/3,053.29
  6. Step 6: Final answer
    x = 1,807.34

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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.