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Finding the Fourth Proportional to 1,671.62, 2,505.99 and 942.26

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Solution

The fourth proportional to 1,671.62, 2,505.99 and 942.26 is: 1,412.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.62 : 2,505.99 = 942.26 : x
  2. Step 2: Convert to fraction form
    1,671.62/2,505.99 = 942.26/x
  3. Step 3: Cross multiply
    1,671.62x = 2,505.99 × 942.26
  4. Step 4: Simplify right side
    1,671.62x = 2,361,294.14
  5. Step 5: Solve for x
    x = 2,361,294.14/1,671.62
  6. Step 6: Final answer
    x = 1,412.58

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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.