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Finding the Fourth Proportional to 1,415.34, 2,122.46 and 427.86

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Solution

The fourth proportional to 1,415.34, 2,122.46 and 427.86 is: 641.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.34 : 2,122.46 = 427.86 : x
  2. Step 2: Convert to fraction form
    1,415.34/2,122.46 = 427.86/x
  3. Step 3: Cross multiply
    1,415.34x = 2,122.46 × 427.86
  4. Step 4: Simplify right side
    1,415.34x = 908,115.74
  5. Step 5: Solve for x
    x = 908,115.74/1,415.34
  6. Step 6: Final answer
    x = 641.62

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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.