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Finding the Fourth Proportional to 2,101.07, 3,151.56 and 519.77

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Solution

The fourth proportional to 2,101.07, 3,151.56 and 519.77 is: 779.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.07 : 3,151.56 = 519.77 : x
  2. Step 2: Convert to fraction form
    2,101.07/3,151.56 = 519.77/x
  3. Step 3: Cross multiply
    2,101.07x = 3,151.56 × 519.77
  4. Step 4: Simplify right side
    2,101.07x = 1,638,086.34
  5. Step 5: Solve for x
    x = 1,638,086.34/2,101.07
  6. Step 6: Final answer
    x = 779.64

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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.