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Finding the Fourth Proportional to 2,740.45, 4,101.23 and 1,645.60

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Solution

The fourth proportional to 2,740.45, 4,101.23 and 1,645.60 is: 2,462.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.45 : 4,101.23 = 1,645.60 : x
  2. Step 2: Convert to fraction form
    2,740.45/4,101.23 = 1,645.60/x
  3. Step 3: Cross multiply
    2,740.45x = 4,101.23 × 1,645.60
  4. Step 4: Simplify right side
    2,740.45x = 6,748,975.86
  5. Step 5: Solve for x
    x = 6,748,975.86/2,740.45
  6. Step 6: Final answer
    x = 2,462.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.