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Finding the Fourth Proportional to 2,742.32, 3,780.60 and 2,184.68

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Solution

The fourth proportional to 2,742.32, 3,780.60 and 2,184.68 is: 3,011.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.32 : 3,780.60 = 2,184.68 : x
  2. Step 2: Convert to fraction form
    2,742.32/3,780.60 = 2,184.68/x
  3. Step 3: Cross multiply
    2,742.32x = 3,780.60 × 2,184.68
  4. Step 4: Simplify right side
    2,742.32x = 8,259,401.21
  5. Step 5: Solve for x
    x = 8,259,401.21/2,742.32
  6. Step 6: Final answer
    x = 3,011.83

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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.