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Finding the Fourth Proportional to 2,730.34, 3,770.76 and 2,145.34

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Solution

The fourth proportional to 2,730.34, 3,770.76 and 2,145.34 is: 2,962.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.34 : 3,770.76 = 2,145.34 : x
  2. Step 2: Convert to fraction form
    2,730.34/3,770.76 = 2,145.34/x
  3. Step 3: Cross multiply
    2,730.34x = 3,770.76 × 2,145.34
  4. Step 4: Simplify right side
    2,730.34x = 8,089,562.26
  5. Step 5: Solve for x
    x = 8,089,562.26/2,730.34
  6. Step 6: Final answer
    x = 2,962.84

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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.