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Finding the Fourth Proportional to 2,148.64, 3,221.13 and 686.99

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Solution

The fourth proportional to 2,148.64, 3,221.13 and 686.99 is: 1,029.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.64 : 3,221.13 = 686.99 : x
  2. Step 2: Convert to fraction form
    2,148.64/3,221.13 = 686.99/x
  3. Step 3: Cross multiply
    2,148.64x = 3,221.13 × 686.99
  4. Step 4: Simplify right side
    2,148.64x = 2,212,884.10
  5. Step 5: Solve for x
    x = 2,212,884.10/2,148.64
  6. Step 6: Final answer
    x = 1,029.90

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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.