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Finding the Fourth Proportional to 2,821.33, 4,232.25 and 741.30

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Solution

The fourth proportional to 2,821.33, 4,232.25 and 741.30 is: 1,112.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.33 : 4,232.25 = 741.30 : x
  2. Step 2: Convert to fraction form
    2,821.33/4,232.25 = 741.30/x
  3. Step 3: Cross multiply
    2,821.33x = 4,232.25 × 741.30
  4. Step 4: Simplify right side
    2,821.33x = 3,137,374.86
  5. Step 5: Solve for x
    x = 3,137,374.86/2,821.33
  6. Step 6: Final answer
    x = 1,112.02

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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.