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Finding the Fourth Proportional to 2,813.60, 4,220.40 and 733.60

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Solution

The fourth proportional to 2,813.60, 4,220.40 and 733.60 is: 1,100.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.60 : 4,220.40 = 733.60 : x
  2. Step 2: Convert to fraction form
    2,813.60/4,220.40 = 733.60/x
  3. Step 3: Cross multiply
    2,813.60x = 4,220.40 × 733.60
  4. Step 4: Simplify right side
    2,813.60x = 3,096,085.44
  5. Step 5: Solve for x
    x = 3,096,085.44/2,813.60
  6. Step 6: Final answer
    x = 1,100.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.