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Finding the Fourth Proportional to 1,967.45, 2,715.93 and 1,495.43

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Solution

The fourth proportional to 1,967.45, 2,715.93 and 1,495.43 is: 2,064.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.45 : 2,715.93 = 1,495.43 : x
  2. Step 2: Convert to fraction form
    1,967.45/2,715.93 = 1,495.43/x
  3. Step 3: Cross multiply
    1,967.45x = 2,715.93 × 1,495.43
  4. Step 4: Simplify right side
    1,967.45x = 4,061,469.62
  5. Step 5: Solve for x
    x = 4,061,469.62/1,967.45
  6. Step 6: Final answer
    x = 2,064.34

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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.