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Finding the Fourth Proportional to 2,188.96, 3,283.44 and 2,033.44

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Solution

The fourth proportional to 2,188.96, 3,283.44 and 2,033.44 is: 3,050.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.96 : 3,283.44 = 2,033.44 : x
  2. Step 2: Convert to fraction form
    2,188.96/3,283.44 = 2,033.44/x
  3. Step 3: Cross multiply
    2,188.96x = 3,283.44 × 2,033.44
  4. Step 4: Simplify right side
    2,188.96x = 6,676,678.23
  5. Step 5: Solve for x
    x = 6,676,678.23/2,188.96
  6. Step 6: Final answer
    x = 3,050.16

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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.