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Finding the Fourth Proportional to 2,876.15, 3,968.56 and 1,697.15

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Solution

The fourth proportional to 2,876.15, 3,968.56 and 1,697.15 is: 2,341.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.15 : 3,968.56 = 1,697.15 : x
  2. Step 2: Convert to fraction form
    2,876.15/3,968.56 = 1,697.15/x
  3. Step 3: Cross multiply
    2,876.15x = 3,968.56 × 1,697.15
  4. Step 4: Simplify right side
    2,876.15x = 6,735,241.60
  5. Step 5: Solve for x
    x = 6,735,241.60/2,876.15
  6. Step 6: Final answer
    x = 2,341.76

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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.