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Finding the Fourth Proportional to 3,013.28, 4,519.80 and 933.20

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Solution

The fourth proportional to 3,013.28, 4,519.80 and 933.20 is: 1,399.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,013.28 : 4,519.80 = 933.20 : x
  2. Step 2: Convert to fraction form
    3,013.28/4,519.80 = 933.20/x
  3. Step 3: Cross multiply
    3,013.28x = 4,519.80 × 933.20
  4. Step 4: Simplify right side
    3,013.28x = 4,217,877.36
  5. Step 5: Solve for x
    x = 4,217,877.36/3,013.28
  6. Step 6: Final answer
    x = 1,399.76

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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.