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Finding the Fourth Proportional to 3,670.80, 5,506.20 and 1,823.22

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Solution

The fourth proportional to 3,670.80, 5,506.20 and 1,823.22 is: 2,734.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.80 : 5,506.20 = 1,823.22 : x
  2. Step 2: Convert to fraction form
    3,670.80/5,506.20 = 1,823.22/x
  3. Step 3: Cross multiply
    3,670.80x = 5,506.20 × 1,823.22
  4. Step 4: Simplify right side
    3,670.80x = 10,039,013.96
  5. Step 5: Solve for x
    x = 10,039,013.96/3,670.80
  6. Step 6: Final answer
    x = 2,734.83

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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.