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Finding the Fourth Proportional to 2,033.94, 3,050.92 and 648.25

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Solution

The fourth proportional to 2,033.94, 3,050.92 and 648.25 is: 972.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.94 : 3,050.92 = 648.25 : x
  2. Step 2: Convert to fraction form
    2,033.94/3,050.92 = 648.25/x
  3. Step 3: Cross multiply
    2,033.94x = 3,050.92 × 648.25
  4. Step 4: Simplify right side
    2,033.94x = 1,977,752.07
  5. Step 5: Solve for x
    x = 1,977,752.07/2,033.94
  6. Step 6: Final answer
    x = 972.37

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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.