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Finding the Fourth Proportional to 2,174.80, 3,262.40 and 714

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Solution

The fourth proportional to 2,174.80, 3,262.40 and 714 is: 1,071.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.80 : 3,262.40 = 714 : x
  2. Step 2: Convert to fraction form
    2,174.80/3,262.40 = 714/x
  3. Step 3: Cross multiply
    2,174.80x = 3,262.40 × 714
  4. Step 4: Simplify right side
    2,174.80x = 2,329,353.60
  5. Step 5: Solve for x
    x = 2,329,353.60/2,174.80
  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.