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Finding the Fourth Proportional to 2,133.39, 3,200.10 and 2,040.45

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Solution

The fourth proportional to 2,133.39, 3,200.10 and 2,040.45 is: 3,060.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.39 : 3,200.10 = 2,040.45 : x
  2. Step 2: Convert to fraction form
    2,133.39/3,200.10 = 2,040.45/x
  3. Step 3: Cross multiply
    2,133.39x = 3,200.10 × 2,040.45
  4. Step 4: Simplify right side
    2,133.39x = 6,529,644.05
  5. Step 5: Solve for x
    x = 6,529,644.05/2,133.39
  6. Step 6: Final answer
    x = 3,060.69

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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.