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Finding the Fourth Proportional to 1,992.85, 2,740.29 and 1,771.40

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Solution

The fourth proportional to 1,992.85, 2,740.29 and 1,771.40 is: 2,435.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.85 : 2,740.29 = 1,771.40 : x
  2. Step 2: Convert to fraction form
    1,992.85/2,740.29 = 1,771.40/x
  3. Step 3: Cross multiply
    1,992.85x = 2,740.29 × 1,771.40
  4. Step 4: Simplify right side
    1,992.85x = 4,854,149.71
  5. Step 5: Solve for x
    x = 4,854,149.71/1,992.85
  6. Step 6: Final answer
    x = 2,435.78

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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.