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Finding the Fourth Proportional to 2,466.54, 3,690.23 and 2,259.68

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Solution

The fourth proportional to 2,466.54, 3,690.23 and 2,259.68 is: 3,380.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.54 : 3,690.23 = 2,259.68 : x
  2. Step 2: Convert to fraction form
    2,466.54/3,690.23 = 2,259.68/x
  3. Step 3: Cross multiply
    2,466.54x = 3,690.23 × 2,259.68
  4. Step 4: Simplify right side
    2,466.54x = 8,338,709.18
  5. Step 5: Solve for x
    x = 8,338,709.18/2,466.54
  6. Step 6: Final answer
    x = 3,380.73

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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.