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Finding the Fourth Proportional to 3,043.36, 4,563.39 and 962.77

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Solution

The fourth proportional to 3,043.36, 4,563.39 and 962.77 is: 1,443.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.36 : 4,563.39 = 962.77 : x
  2. Step 2: Convert to fraction form
    3,043.36/4,563.39 = 962.77/x
  3. Step 3: Cross multiply
    3,043.36x = 4,563.39 × 962.77
  4. Step 4: Simplify right side
    3,043.36x = 4,393,494.99
  5. Step 5: Solve for x
    x = 4,393,494.99/3,043.36
  6. Step 6: Final answer
    x = 1,443.63

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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.