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Finding the Fourth Proportional to 2,396.63, 3,590.96 and 835.78

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Solution

The fourth proportional to 2,396.63, 3,590.96 and 835.78 is: 1,252.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.63 : 3,590.96 = 835.78 : x
  2. Step 2: Convert to fraction form
    2,396.63/3,590.96 = 835.78/x
  3. Step 3: Cross multiply
    2,396.63x = 3,590.96 × 835.78
  4. Step 4: Simplify right side
    2,396.63x = 3,001,234.59
  5. Step 5: Solve for x
    x = 3,001,234.59/2,396.63
  6. Step 6: Final answer
    x = 1,252.27

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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.