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Finding the Fourth Proportional to 2,876.81, 3,969.72 and 1,697.63

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Solution

The fourth proportional to 2,876.81, 3,969.72 and 1,697.63 is: 2,342.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.81 : 3,969.72 = 1,697.63 : x
  2. Step 2: Convert to fraction form
    2,876.81/3,969.72 = 1,697.63/x
  3. Step 3: Cross multiply
    2,876.81x = 3,969.72 × 1,697.63
  4. Step 4: Simplify right side
    2,876.81x = 6,739,095.92
  5. Step 5: Solve for x
    x = 6,739,095.92/2,876.81
  6. Step 6: Final answer
    x = 2,342.56

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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.