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Finding the Fourth Proportional to 2,335.80, 3,222.54 and 1,628.40

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Solution

The fourth proportional to 2,335.80, 3,222.54 and 1,628.40 is: 2,246.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.80 : 3,222.54 = 1,628.40 : x
  2. Step 2: Convert to fraction form
    2,335.80/3,222.54 = 1,628.40/x
  3. Step 3: Cross multiply
    2,335.80x = 3,222.54 × 1,628.40
  4. Step 4: Simplify right side
    2,335.80x = 5,247,584.14
  5. Step 5: Solve for x
    x = 5,247,584.14/2,335.80
  6. Step 6: Final answer
    x = 2,246.59

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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.