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Finding the Fourth Proportional to 2,028.93, 3,043.64 and 641.89

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Solution

The fourth proportional to 2,028.93, 3,043.64 and 641.89 is: 962.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.93 : 3,043.64 = 641.89 : x
  2. Step 2: Convert to fraction form
    2,028.93/3,043.64 = 641.89/x
  3. Step 3: Cross multiply
    2,028.93x = 3,043.64 × 641.89
  4. Step 4: Simplify right side
    2,028.93x = 1,953,682.08
  5. Step 5: Solve for x
    x = 1,953,682.08/2,028.93
  6. Step 6: Final answer
    x = 962.91

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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.