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Finding the Fourth Proportional to 3,670.80, 5,506.15 and 1,205.70

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Solution

The fourth proportional to 3,670.80, 5,506.15 and 1,205.70 is: 1,808.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.80 : 5,506.15 = 1,205.70 : x
  2. Step 2: Convert to fraction form
    3,670.80/5,506.15 = 1,205.70/x
  3. Step 3: Cross multiply
    3,670.80x = 5,506.15 × 1,205.70
  4. Step 4: Simplify right side
    3,670.80x = 6,638,765.06
  5. Step 5: Solve for x
    x = 6,638,765.06/3,670.80
  6. Step 6: Final answer
    x = 1,808.53

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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.