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Finding the Fourth Proportional to 3,653.66, 5,480.41 and 1,461.80

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Solution

The fourth proportional to 3,653.66, 5,480.41 and 1,461.80 is: 2,192.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.66 : 5,480.41 = 1,461.80 : x
  2. Step 2: Convert to fraction form
    3,653.66/5,480.41 = 1,461.80/x
  3. Step 3: Cross multiply
    3,653.66x = 5,480.41 × 1,461.80
  4. Step 4: Simplify right side
    3,653.66x = 8,011,245.30
  5. Step 5: Solve for x
    x = 8,011,245.30/3,653.66
  6. Step 6: Final answer
    x = 2,192.66

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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.