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Finding the Fourth Proportional to 2,612.88, 3,919.41 and 1,313.64

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Solution

The fourth proportional to 2,612.88, 3,919.41 and 1,313.64 is: 1,970.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.88 : 3,919.41 = 1,313.64 : x
  2. Step 2: Convert to fraction form
    2,612.88/3,919.41 = 1,313.64/x
  3. Step 3: Cross multiply
    2,612.88x = 3,919.41 × 1,313.64
  4. Step 4: Simplify right side
    2,612.88x = 5,148,693.75
  5. Step 5: Solve for x
    x = 5,148,693.75/2,612.88
  6. Step 6: Final answer
    x = 1,970.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.