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Finding the Fourth Proportional to 3,072.02, 4,607.76 and 1,020.02

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Solution

The fourth proportional to 3,072.02, 4,607.76 and 1,020.02 is: 1,529.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.02 : 4,607.76 = 1,020.02 : x
  2. Step 2: Convert to fraction form
    3,072.02/4,607.76 = 1,020.02/x
  3. Step 3: Cross multiply
    3,072.02x = 4,607.76 × 1,020.02
  4. Step 4: Simplify right side
    3,072.02x = 4,700,007.36
  5. Step 5: Solve for x
    x = 4,700,007.36/3,072.02
  6. Step 6: Final answer
    x = 1,529.94

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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.