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Finding the Fourth Proportional to 2,028.79, 3,043.19 and 713.58

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Solution

The fourth proportional to 2,028.79, 3,043.19 and 713.58 is: 1,070.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.79 : 3,043.19 = 713.58 : x
  2. Step 2: Convert to fraction form
    2,028.79/3,043.19 = 713.58/x
  3. Step 3: Cross multiply
    2,028.79x = 3,043.19 × 713.58
  4. Step 4: Simplify right side
    2,028.79x = 2,171,559.52
  5. Step 5: Solve for x
    x = 2,171,559.52/2,028.79
  6. Step 6: Final answer
    x = 1,070.37

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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.