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Finding the Fourth Proportional to 2,742.85, 3,780.84 and 2,077.03

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Solution

The fourth proportional to 2,742.85, 3,780.84 and 2,077.03 is: 2,863.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.85 : 3,780.84 = 2,077.03 : x
  2. Step 2: Convert to fraction form
    2,742.85/3,780.84 = 2,077.03/x
  3. Step 3: Cross multiply
    2,742.85x = 3,780.84 × 2,077.03
  4. Step 4: Simplify right side
    2,742.85x = 7,852,918.11
  5. Step 5: Solve for x
    x = 7,852,918.11/2,742.85
  6. Step 6: Final answer
    x = 2,863.05

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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.