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Finding the Fourth Proportional to 2,101.92, 2,900.12 and 1,403.43

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Solution

The fourth proportional to 2,101.92, 2,900.12 and 1,403.43 is: 1,936.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.92 : 2,900.12 = 1,403.43 : x
  2. Step 2: Convert to fraction form
    2,101.92/2,900.12 = 1,403.43/x
  3. Step 3: Cross multiply
    2,101.92x = 2,900.12 × 1,403.43
  4. Step 4: Simplify right side
    2,101.92x = 4,070,108.39
  5. Step 5: Solve for x
    x = 4,070,108.39/2,101.92
  6. Step 6: Final answer
    x = 1,936.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.