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Finding the Fourth Proportional to 2,375.89, 3,278.71 and 1,313.64

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Solution

The fourth proportional to 2,375.89, 3,278.71 and 1,313.64 is: 1,812.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.89 : 3,278.71 = 1,313.64 : x
  2. Step 2: Convert to fraction form
    2,375.89/3,278.71 = 1,313.64/x
  3. Step 3: Cross multiply
    2,375.89x = 3,278.71 × 1,313.64
  4. Step 4: Simplify right side
    2,375.89x = 4,307,046.25
  5. Step 5: Solve for x
    x = 4,307,046.25/2,375.89
  6. Step 6: Final answer
    x = 1,812.82

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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.