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Finding the Fourth Proportional to 2,663.11, 3,986.83 and 1,972.86

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Solution

The fourth proportional to 2,663.11, 3,986.83 and 1,972.86 is: 2,953.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.11 : 3,986.83 = 1,972.86 : x
  2. Step 2: Convert to fraction form
    2,663.11/3,986.83 = 1,972.86/x
  3. Step 3: Cross multiply
    2,663.11x = 3,986.83 × 1,972.86
  4. Step 4: Simplify right side
    2,663.11x = 7,865,457.43
  5. Step 5: Solve for x
    x = 7,865,457.43/2,663.11
  6. Step 6: Final answer
    x = 2,953.49

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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.