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Finding the Fourth Proportional to 1,958.74, 2,702.94 and 1,172.32

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Solution

The fourth proportional to 1,958.74, 2,702.94 and 1,172.32 is: 1,617.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958.74 : 2,702.94 = 1,172.32 : x
  2. Step 2: Convert to fraction form
    1,958.74/2,702.94 = 1,172.32/x
  3. Step 3: Cross multiply
    1,958.74x = 2,702.94 × 1,172.32
  4. Step 4: Simplify right side
    1,958.74x = 3,168,710.62
  5. Step 5: Solve for x
    x = 3,168,710.62/1,958.74
  6. Step 6: Final answer
    x = 1,617.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.