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Finding the Fourth Proportional to 3,280.56, 4,914.24 and 1,523.10

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Solution

The fourth proportional to 3,280.56, 4,914.24 and 1,523.10 is: 2,281.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,280.56 : 4,914.24 = 1,523.10 : x
  2. Step 2: Convert to fraction form
    3,280.56/4,914.24 = 1,523.10/x
  3. Step 3: Cross multiply
    3,280.56x = 4,914.24 × 1,523.10
  4. Step 4: Simplify right side
    3,280.56x = 7,484,878.94
  5. Step 5: Solve for x
    x = 7,484,878.94/3,280.56
  6. Step 6: Final answer
    x = 2,281.59

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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.