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Finding the Fourth Proportional to 3,442.68, 5,155.80 and 1,880.34

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Solution

The fourth proportional to 3,442.68, 5,155.80 and 1,880.34 is: 2,816.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.68 : 5,155.80 = 1,880.34 : x
  2. Step 2: Convert to fraction form
    3,442.68/5,155.80 = 1,880.34/x
  3. Step 3: Cross multiply
    3,442.68x = 5,155.80 × 1,880.34
  4. Step 4: Simplify right side
    3,442.68x = 9,694,674.56
  5. Step 5: Solve for x
    x = 9,694,674.56/3,442.68
  6. Step 6: Final answer
    x = 2,816.03

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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.