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Finding the Fourth Proportional to 2,453.66, 3,383.07 and 2,137.76

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Solution

The fourth proportional to 2,453.66, 3,383.07 and 2,137.76 is: 2,947.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.66 : 3,383.07 = 2,137.76 : x
  2. Step 2: Convert to fraction form
    2,453.66/3,383.07 = 2,137.76/x
  3. Step 3: Cross multiply
    2,453.66x = 3,383.07 × 2,137.76
  4. Step 4: Simplify right side
    2,453.66x = 7,232,191.72
  5. Step 5: Solve for x
    x = 7,232,191.72/2,453.66
  6. Step 6: Final answer
    x = 2,947.51

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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.