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Finding the Fourth Proportional to 1,967.24, 2,715 and 1,181.36

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Solution

The fourth proportional to 1,967.24, 2,715 and 1,181.36 is: 1,630.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.24 : 2,715 = 1,181.36 : x
  2. Step 2: Convert to fraction form
    1,967.24/2,715 = 1,181.36/x
  3. Step 3: Cross multiply
    1,967.24x = 2,715 × 1,181.36
  4. Step 4: Simplify right side
    1,967.24x = 3,207,392.40
  5. Step 5: Solve for x
    x = 3,207,392.40/1,967.24
  6. Step 6: Final answer
    x = 1,630.40

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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.