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Finding the Fourth Proportional to 1,849.88, 2,546.34 and 1,674.92

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Solution

The fourth proportional to 1,849.88, 2,546.34 and 1,674.92 is: 2,305.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.88 : 2,546.34 = 1,674.92 : x
  2. Step 2: Convert to fraction form
    1,849.88/2,546.34 = 1,674.92/x
  3. Step 3: Cross multiply
    1,849.88x = 2,546.34 × 1,674.92
  4. Step 4: Simplify right side
    1,849.88x = 4,264,915.79
  5. Step 5: Solve for x
    x = 4,264,915.79/1,849.88
  6. Step 6: Final answer
    x = 2,305.51

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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.