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Finding the Fourth Proportional to 2,280.39, 3,421.12 and 720.55

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Solution

The fourth proportional to 2,280.39, 3,421.12 and 720.55 is: 1,080.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.39 : 3,421.12 = 720.55 : x
  2. Step 2: Convert to fraction form
    2,280.39/3,421.12 = 720.55/x
  3. Step 3: Cross multiply
    2,280.39x = 3,421.12 × 720.55
  4. Step 4: Simplify right side
    2,280.39x = 2,465,084.41
  5. Step 5: Solve for x
    x = 2,465,084.41/2,280.39
  6. Step 6: Final answer
    x = 1,080.99

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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.