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Finding the Fourth Proportional to 2,253, 3,379.50 and 714

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Solution

The fourth proportional to 2,253, 3,379.50 and 714 is: 1,071

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253 : 3,379.50 = 714 : x
  2. Step 2: Convert to fraction form
    2,253/3,379.50 = 714/x
  3. Step 3: Cross multiply
    2,253x = 3,379.50 × 714
  4. Step 4: Simplify right side
    2,253x = 2,412,963
  5. Step 5: Solve for x
    x = 2,412,963/2,253
  6. Step 6: Final answer
    x = 1,071

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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.