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Finding the Fourth Proportional to 2,130.35, 3,195.82 and 669.61

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Solution

The fourth proportional to 2,130.35, 3,195.82 and 669.61 is: 1,004.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.35 : 3,195.82 = 669.61 : x
  2. Step 2: Convert to fraction form
    2,130.35/3,195.82 = 669.61/x
  3. Step 3: Cross multiply
    2,130.35x = 3,195.82 × 669.61
  4. Step 4: Simplify right side
    2,130.35x = 2,139,957.86
  5. Step 5: Solve for x
    x = 2,139,957.86/2,130.35
  6. Step 6: Final answer
    x = 1,004.51

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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.