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Finding the Fourth Proportional to 3,280.34, 4,915.03 and 1,428.68

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Solution

The fourth proportional to 3,280.34, 4,915.03 and 1,428.68 is: 2,140.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,280.34 : 4,915.03 = 1,428.68 : x
  2. Step 2: Convert to fraction form
    3,280.34/4,915.03 = 1,428.68/x
  3. Step 3: Cross multiply
    3,280.34x = 4,915.03 × 1,428.68
  4. Step 4: Simplify right side
    3,280.34x = 7,021,976.91
  5. Step 5: Solve for x
    x = 7,021,976.91/3,280.34
  6. Step 6: Final answer
    x = 2,140.63

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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.