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Finding the Fourth Proportional to 2,396.51, 3,595.64 and 836.75

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Solution

The fourth proportional to 2,396.51, 3,595.64 and 836.75 is: 1,255.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.51 : 3,595.64 = 836.75 : x
  2. Step 2: Convert to fraction form
    2,396.51/3,595.64 = 836.75/x
  3. Step 3: Cross multiply
    2,396.51x = 3,595.64 × 836.75
  4. Step 4: Simplify right side
    2,396.51x = 3,008,641.53
  5. Step 5: Solve for x
    x = 3,008,641.53/2,396.51
  6. Step 6: Final answer
    x = 1,255.42

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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.