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Finding the Fourth Proportional to 2,820.49, 4,230.74 and 872.65

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Solution

The fourth proportional to 2,820.49, 4,230.74 and 872.65 is: 1,308.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.49 : 4,230.74 = 872.65 : x
  2. Step 2: Convert to fraction form
    2,820.49/4,230.74 = 872.65/x
  3. Step 3: Cross multiply
    2,820.49x = 4,230.74 × 872.65
  4. Step 4: Simplify right side
    2,820.49x = 3,691,955.26
  5. Step 5: Solve for x
    x = 3,691,955.26/2,820.49
  6. Step 6: Final answer
    x = 1,308.98

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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.