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Finding the Fourth Proportional to 2,375.35, 3,277.81 and 1,313.10

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Solution

The fourth proportional to 2,375.35, 3,277.81 and 1,313.10 is: 1,811.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.35 : 3,277.81 = 1,313.10 : x
  2. Step 2: Convert to fraction form
    2,375.35/3,277.81 = 1,313.10/x
  3. Step 3: Cross multiply
    2,375.35x = 3,277.81 × 1,313.10
  4. Step 4: Simplify right side
    2,375.35x = 4,304,092.31
  5. Step 5: Solve for x
    x = 4,304,092.31/2,375.35
  6. Step 6: Final answer
    x = 1,811.98

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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.