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Finding the Fourth Proportional to 3,057.82, 4,583.46 and 1,302.46

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Solution

The fourth proportional to 3,057.82, 4,583.46 and 1,302.46 is: 1,952.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.82 : 4,583.46 = 1,302.46 : x
  2. Step 2: Convert to fraction form
    3,057.82/4,583.46 = 1,302.46/x
  3. Step 3: Cross multiply
    3,057.82x = 4,583.46 × 1,302.46
  4. Step 4: Simplify right side
    3,057.82x = 5,969,773.31
  5. Step 5: Solve for x
    x = 5,969,773.31/3,057.82
  6. Step 6: Final answer
    x = 1,952.30

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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.