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Finding the Fourth Proportional to 2,996.33, 4,134.94 and 1,670.01

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Solution

The fourth proportional to 2,996.33, 4,134.94 and 1,670.01 is: 2,304.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.33 : 4,134.94 = 1,670.01 : x
  2. Step 2: Convert to fraction form
    2,996.33/4,134.94 = 1,670.01/x
  3. Step 3: Cross multiply
    2,996.33x = 4,134.94 × 1,670.01
  4. Step 4: Simplify right side
    2,996.33x = 6,905,391.15
  5. Step 5: Solve for x
    x = 6,905,391.15/2,996.33
  6. Step 6: Final answer
    x = 2,304.62

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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.