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Finding the Fourth Proportional to 2,089.09, 3,133.73 and 628.10

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Solution

The fourth proportional to 2,089.09, 3,133.73 and 628.10 is: 942.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.09 : 3,133.73 = 628.10 : x
  2. Step 2: Convert to fraction form
    2,089.09/3,133.73 = 628.10/x
  3. Step 3: Cross multiply
    2,089.09x = 3,133.73 × 628.10
  4. Step 4: Simplify right side
    2,089.09x = 1,968,295.81
  5. Step 5: Solve for x
    x = 1,968,295.81/2,089.09
  6. Step 6: Final answer
    x = 942.18

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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.