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Finding the Fourth Proportional to 1,671.37, 2,507.15 and 438.79

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Solution

The fourth proportional to 1,671.37, 2,507.15 and 438.79 is: 658.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.37 : 2,507.15 = 438.79 : x
  2. Step 2: Convert to fraction form
    1,671.37/2,507.15 = 438.79/x
  3. Step 3: Cross multiply
    1,671.37x = 2,507.15 × 438.79
  4. Step 4: Simplify right side
    1,671.37x = 1,100,112.35
  5. Step 5: Solve for x
    x = 1,100,112.35/1,671.37
  6. Step 6: Final answer
    x = 658.21

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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.