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Finding the Fourth Proportional to 1,597.37, 2,396.90 and 610.86

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Solution

The fourth proportional to 1,597.37, 2,396.90 and 610.86 is: 916.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.37 : 2,396.90 = 610.86 : x
  2. Step 2: Convert to fraction form
    1,597.37/2,396.90 = 610.86/x
  3. Step 3: Cross multiply
    1,597.37x = 2,396.90 × 610.86
  4. Step 4: Simplify right side
    1,597.37x = 1,464,171.86
  5. Step 5: Solve for x
    x = 1,464,171.86/1,597.37
  6. Step 6: Final answer
    x = 916.61

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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.