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Finding the Fourth Proportional to 2,396.86, 3,595.27 and 937.03

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Solution

The fourth proportional to 2,396.86, 3,595.27 and 937.03 is: 1,405.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.86 : 3,595.27 = 937.03 : x
  2. Step 2: Convert to fraction form
    2,396.86/3,595.27 = 937.03/x
  3. Step 3: Cross multiply
    2,396.86x = 3,595.27 × 937.03
  4. Step 4: Simplify right side
    2,396.86x = 3,368,875.85
  5. Step 5: Solve for x
    x = 3,368,875.85/2,396.86
  6. Step 6: Final answer
    x = 1,405.54

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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.