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Finding the Fourth Proportional to 2,021.47, 3,032.00 and 634.77

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Solution

The fourth proportional to 2,021.47, 3,032.00 and 634.77 is: 952.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.47 : 3,032.00 = 634.77 : x
  2. Step 2: Convert to fraction form
    2,021.47/3,032.00 = 634.77/x
  3. Step 3: Cross multiply
    2,021.47x = 3,032.00 × 634.77
  4. Step 4: Simplify right side
    2,021.47x = 1,924,618.80
  5. Step 5: Solve for x
    x = 1,924,618.80/2,021.47
  6. Step 6: Final answer
    x = 952.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.