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Finding the Fourth Proportional to 3,034.55, 4,550.00 and 1,645.40

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Solution

The fourth proportional to 3,034.55, 4,550.00 and 1,645.40 is: 2,467.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.55 : 4,550.00 = 1,645.40 : x
  2. Step 2: Convert to fraction form
    3,034.55/4,550.00 = 1,645.40/x
  3. Step 3: Cross multiply
    3,034.55x = 4,550.00 × 1,645.40
  4. Step 4: Simplify right side
    3,034.55x = 7,486,539.02
  5. Step 5: Solve for x
    x = 7,486,539.02/3,034.55
  6. Step 6: Final answer
    x = 2,467.10

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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.