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Finding the Fourth Proportional to 2,146.82, 3,216.92 and 1,048.46

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Solution

The fourth proportional to 2,146.82, 3,216.92 and 1,048.46 is: 1,571.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.82 : 3,216.92 = 1,048.46 : x
  2. Step 2: Convert to fraction form
    2,146.82/3,216.92 = 1,048.46/x
  3. Step 3: Cross multiply
    2,146.82x = 3,216.92 × 1,048.46
  4. Step 4: Simplify right side
    2,146.82x = 3,372,811.94
  5. Step 5: Solve for x
    x = 3,372,811.94/2,146.82
  6. Step 6: Final answer
    x = 1,571.07

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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.