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Finding the Fourth Proportional to 2,914.94, 4,372.50 and 967.10

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Solution

The fourth proportional to 2,914.94, 4,372.50 and 967.10 is: 1,450.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.94 : 4,372.50 = 967.10 : x
  2. Step 2: Convert to fraction form
    2,914.94/4,372.50 = 967.10/x
  3. Step 3: Cross multiply
    2,914.94x = 4,372.50 × 967.10
  4. Step 4: Simplify right side
    2,914.94x = 4,228,644.75
  5. Step 5: Solve for x
    x = 4,228,644.75/2,914.94
  6. Step 6: Final answer
    x = 1,450.68

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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.