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Finding the Fourth Proportional to 2,740.86, 3,782.16 and 1,546.14

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Solution

The fourth proportional to 2,740.86, 3,782.16 and 1,546.14 is: 2,133.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.86 : 3,782.16 = 1,546.14 : x
  2. Step 2: Convert to fraction form
    2,740.86/3,782.16 = 1,546.14/x
  3. Step 3: Cross multiply
    2,740.86x = 3,782.16 × 1,546.14
  4. Step 4: Simplify right side
    2,740.86x = 5,847,748.86
  5. Step 5: Solve for x
    x = 5,847,748.86/2,740.86
  6. Step 6: Final answer
    x = 2,133.55

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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.