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Finding the Fourth Proportional to 2,087.75, 2,865.74 and 1,846.41

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Solution

The fourth proportional to 2,087.75, 2,865.74 and 1,846.41 is: 2,534.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.75 : 2,865.74 = 1,846.41 : x
  2. Step 2: Convert to fraction form
    2,087.75/2,865.74 = 1,846.41/x
  3. Step 3: Cross multiply
    2,087.75x = 2,865.74 × 1,846.41
  4. Step 4: Simplify right side
    2,087.75x = 5,291,335.61
  5. Step 5: Solve for x
    x = 5,291,335.61/2,087.75
  6. Step 6: Final answer
    x = 2,534.46

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.