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Finding the Fourth Proportional to 2,405.88, 3,328.02 and 2,011.68

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Solution

The fourth proportional to 2,405.88, 3,328.02 and 2,011.68 is: 2,782.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.88 : 3,328.02 = 2,011.68 : x
  2. Step 2: Convert to fraction form
    2,405.88/3,328.02 = 2,011.68/x
  3. Step 3: Cross multiply
    2,405.88x = 3,328.02 × 2,011.68
  4. Step 4: Simplify right side
    2,405.88x = 6,694,911.27
  5. Step 5: Solve for x
    x = 6,694,911.27/2,405.88
  6. Step 6: Final answer
    x = 2,782.73

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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.