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Finding the Fourth Proportional to 1,597.83, 2,396.54 and 427.92

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Solution

The fourth proportional to 1,597.83, 2,396.54 and 427.92 is: 641.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.83 : 2,396.54 = 427.92 : x
  2. Step 2: Convert to fraction form
    1,597.83/2,396.54 = 427.92/x
  3. Step 3: Cross multiply
    1,597.83x = 2,396.54 × 427.92
  4. Step 4: Simplify right side
    1,597.83x = 1,025,527.40
  5. Step 5: Solve for x
    x = 1,025,527.40/1,597.83
  6. Step 6: Final answer
    x = 641.83

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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.