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Finding the Fourth Proportional to 3,012.94, 4,518.94 and 821.85

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Solution

The fourth proportional to 3,012.94, 4,518.94 and 821.85 is: 1,232.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.94 : 4,518.94 = 821.85 : x
  2. Step 2: Convert to fraction form
    3,012.94/4,518.94 = 821.85/x
  3. Step 3: Cross multiply
    3,012.94x = 4,518.94 × 821.85
  4. Step 4: Simplify right side
    3,012.94x = 3,713,890.84
  5. Step 5: Solve for x
    x = 3,713,890.84/3,012.94
  6. Step 6: Final answer
    x = 1,232.65

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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.