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Finding the Fourth Proportional to 2,260.89, 3,390.41 and 873.45

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Solution

The fourth proportional to 2,260.89, 3,390.41 and 873.45 is: 1,309.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.89 : 3,390.41 = 873.45 : x
  2. Step 2: Convert to fraction form
    2,260.89/3,390.41 = 873.45/x
  3. Step 3: Cross multiply
    2,260.89x = 3,390.41 × 873.45
  4. Step 4: Simplify right side
    2,260.89x = 2,961,355.80
  5. Step 5: Solve for x
    x = 2,961,355.80/2,260.89
  6. Step 6: Final answer
    x = 1,309.82

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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.