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Finding the Fourth Proportional to 2,028.70, 3,041.52 and 795.94

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Solution

The fourth proportional to 2,028.70, 3,041.52 and 795.94 is: 1,193.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.70 : 3,041.52 = 795.94 : x
  2. Step 2: Convert to fraction form
    2,028.70/3,041.52 = 795.94/x
  3. Step 3: Cross multiply
    2,028.70x = 3,041.52 × 795.94
  4. Step 4: Simplify right side
    2,028.70x = 2,420,867.43
  5. Step 5: Solve for x
    x = 2,420,867.43/2,028.70
  6. Step 6: Final answer
    x = 1,193.31

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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.