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Finding the Fourth Proportional to 2,174.70, 3,262.26 and 714

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Solution

The fourth proportional to 2,174.70, 3,262.26 and 714 is: 1,071.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.70 : 3,262.26 = 714 : x
  2. Step 2: Convert to fraction form
    2,174.70/3,262.26 = 714/x
  3. Step 3: Cross multiply
    2,174.70x = 3,262.26 × 714
  4. Step 4: Simplify right side
    2,174.70x = 2,329,253.64
  5. Step 5: Solve for x
    x = 2,329,253.64/2,174.70
  6. Step 6: Final answer
    x = 1,071.07

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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.