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Finding the Fourth Proportional to 2,139.80, 2,954.76 and 1,355.24

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Solution

The fourth proportional to 2,139.80, 2,954.76 and 1,355.24 is: 1,871.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.80 : 2,954.76 = 1,355.24 : x
  2. Step 2: Convert to fraction form
    2,139.80/2,954.76 = 1,355.24/x
  3. Step 3: Cross multiply
    2,139.80x = 2,954.76 × 1,355.24
  4. Step 4: Simplify right side
    2,139.80x = 4,004,408.94
  5. Step 5: Solve for x
    x = 4,004,408.94/2,139.80
  6. Step 6: Final answer
    x = 1,871.39

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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.