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Finding the Fourth Proportional to 2,996.02, 4,494.23 and 804.70

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Solution

The fourth proportional to 2,996.02, 4,494.23 and 804.70 is: 1,207.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.02 : 4,494.23 = 804.70 : x
  2. Step 2: Convert to fraction form
    2,996.02/4,494.23 = 804.70/x
  3. Step 3: Cross multiply
    2,996.02x = 4,494.23 × 804.70
  4. Step 4: Simplify right side
    2,996.02x = 3,616,506.88
  5. Step 5: Solve for x
    x = 3,616,506.88/2,996.02
  6. Step 6: Final answer
    x = 1,207.10

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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.