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Finding the Fourth Proportional to 2,152.37, 2,969.97 and 1,313.11

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Solution

The fourth proportional to 2,152.37, 2,969.97 and 1,313.11 is: 1,811.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.37 : 2,969.97 = 1,313.11 : x
  2. Step 2: Convert to fraction form
    2,152.37/2,969.97 = 1,313.11/x
  3. Step 3: Cross multiply
    2,152.37x = 2,969.97 × 1,313.11
  4. Step 4: Simplify right side
    2,152.37x = 3,899,896.09
  5. Step 5: Solve for x
    x = 3,899,896.09/2,152.37
  6. Step 6: Final answer
    x = 1,811.91

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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.