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Finding the Fourth Proportional to 3,802.85, 5,704.21 and 1,205.79

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Solution

The fourth proportional to 3,802.85, 5,704.21 and 1,205.79 is: 1,808.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.85 : 5,704.21 = 1,205.79 : x
  2. Step 2: Convert to fraction form
    3,802.85/5,704.21 = 1,205.79/x
  3. Step 3: Cross multiply
    3,802.85x = 5,704.21 × 1,205.79
  4. Step 4: Simplify right side
    3,802.85x = 6,878,079.38
  5. Step 5: Solve for x
    x = 6,878,079.38/3,802.85
  6. Step 6: Final answer
    x = 1,808.66

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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.