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Finding the Fourth Proportional to 2,996.69, 4,135.74 and 1,802.06

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Solution

The fourth proportional to 2,996.69, 4,135.74 and 1,802.06 is: 2,487.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.69 : 4,135.74 = 1,802.06 : x
  2. Step 2: Convert to fraction form
    2,996.69/4,135.74 = 1,802.06/x
  3. Step 3: Cross multiply
    2,996.69x = 4,135.74 × 1,802.06
  4. Step 4: Simplify right side
    2,996.69x = 7,452,851.62
  5. Step 5: Solve for x
    x = 7,452,851.62/2,996.69
  6. Step 6: Final answer
    x = 2,487.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.