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Finding the Fourth Proportional to 2,996.87, 4,135.67 and 1,670.54

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Solution

The fourth proportional to 2,996.87, 4,135.67 and 1,670.54 is: 2,305.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.87 : 4,135.67 = 1,670.54 : x
  2. Step 2: Convert to fraction form
    2,996.87/4,135.67 = 1,670.54/x
  3. Step 3: Cross multiply
    2,996.87x = 4,135.67 × 1,670.54
  4. Step 4: Simplify right side
    2,996.87x = 6,908,812.06
  5. Step 5: Solve for x
    x = 6,908,812.06/2,996.87
  6. Step 6: Final answer
    x = 2,305.35

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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.