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Finding the Fourth Proportional to 2,034.70, 3,052.05 and 735.64

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Solution

The fourth proportional to 2,034.70, 3,052.05 and 735.64 is: 1,103.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.70 : 3,052.05 = 735.64 : x
  2. Step 2: Convert to fraction form
    2,034.70/3,052.05 = 735.64/x
  3. Step 3: Cross multiply
    2,034.70x = 3,052.05 × 735.64
  4. Step 4: Simplify right side
    2,034.70x = 2,245,210.06
  5. Step 5: Solve for x
    x = 2,245,210.06/2,034.70
  6. Step 6: Final answer
    x = 1,103.46

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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.