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Finding the Fourth Proportional to 2,147.72, 3,222 and 686.76

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Solution

The fourth proportional to 2,147.72, 3,222 and 686.76 is: 1,030.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.72 : 3,222 = 686.76 : x
  2. Step 2: Convert to fraction form
    2,147.72/3,222 = 686.76/x
  3. Step 3: Cross multiply
    2,147.72x = 3,222 × 686.76
  4. Step 4: Simplify right side
    2,147.72x = 2,212,740.72
  5. Step 5: Solve for x
    x = 2,212,740.72/2,147.72
  6. Step 6: Final answer
    x = 1,030.27

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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.