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Finding the Fourth Proportional to 2,033.70, 3,050.55 and 734.64

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Solution

The fourth proportional to 2,033.70, 3,050.55 and 734.64 is: 1,101.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.70 : 3,050.55 = 734.64 : x
  2. Step 2: Convert to fraction form
    2,033.70/3,050.55 = 734.64/x
  3. Step 3: Cross multiply
    2,033.70x = 3,050.55 × 734.64
  4. Step 4: Simplify right side
    2,033.70x = 2,241,056.05
  5. Step 5: Solve for x
    x = 2,241,056.05/2,033.70
  6. Step 6: Final answer
    x = 1,101.96

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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.