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Finding the Fourth Proportional to 2,369.67, 3,550.86 and 1,394.70

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Solution

The fourth proportional to 2,369.67, 3,550.86 and 1,394.70 is: 2,089.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.67 : 3,550.86 = 1,394.70 : x
  2. Step 2: Convert to fraction form
    2,369.67/3,550.86 = 1,394.70/x
  3. Step 3: Cross multiply
    2,369.67x = 3,550.86 × 1,394.70
  4. Step 4: Simplify right side
    2,369.67x = 4,952,384.44
  5. Step 5: Solve for x
    x = 4,952,384.44/2,369.67
  6. Step 6: Final answer
    x = 2,089.90

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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.