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Finding the Fourth Proportional to 2,033.80, 3,051.14 and 628.22

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Solution

The fourth proportional to 2,033.80, 3,051.14 and 628.22 is: 942.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.80 : 3,051.14 = 628.22 : x
  2. Step 2: Convert to fraction form
    2,033.80/3,051.14 = 628.22/x
  3. Step 3: Cross multiply
    2,033.80x = 3,051.14 × 628.22
  4. Step 4: Simplify right side
    2,033.80x = 1,916,787.17
  5. Step 5: Solve for x
    x = 1,916,787.17/2,033.80
  6. Step 6: Final answer
    x = 942.47

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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.