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Finding the Fourth Proportional to 2,387.41, 3,292.86 and 1,600.09

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Solution

The fourth proportional to 2,387.41, 3,292.86 and 1,600.09 is: 2,206.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.41 : 3,292.86 = 1,600.09 : x
  2. Step 2: Convert to fraction form
    2,387.41/3,292.86 = 1,600.09/x
  3. Step 3: Cross multiply
    2,387.41x = 3,292.86 × 1,600.09
  4. Step 4: Simplify right side
    2,387.41x = 5,268,872.36
  5. Step 5: Solve for x
    x = 5,268,872.36/2,387.41
  6. Step 6: Final answer
    x = 2,206.94

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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.