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Finding the Fourth Proportional to 3,280.80, 4,915.20 and 1,545.60

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Solution

The fourth proportional to 3,280.80, 4,915.20 and 1,545.60 is: 2,315.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,280.80 : 4,915.20 = 1,545.60 : x
  2. Step 2: Convert to fraction form
    3,280.80/4,915.20 = 1,545.60/x
  3. Step 3: Cross multiply
    3,280.80x = 4,915.20 × 1,545.60
  4. Step 4: Simplify right side
    3,280.80x = 7,596,933.12
  5. Step 5: Solve for x
    x = 7,596,933.12/3,280.80
  6. Step 6: Final answer
    x = 2,315.57

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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.