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Finding the Fourth Proportional to 2,101.27, 2,899.75 and 1,169.77

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Solution

The fourth proportional to 2,101.27, 2,899.75 and 1,169.77 is: 1,614.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.27 : 2,899.75 = 1,169.77 : x
  2. Step 2: Convert to fraction form
    2,101.27/2,899.75 = 1,169.77/x
  3. Step 3: Cross multiply
    2,101.27x = 2,899.75 × 1,169.77
  4. Step 4: Simplify right side
    2,101.27x = 3,392,030.38
  5. Step 5: Solve for x
    x = 3,392,030.38/2,101.27
  6. Step 6: Final answer
    x = 1,614.28

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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.