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Finding the Fourth Proportional to 2,021.14, 3,032.25 and 722.58

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Solution

The fourth proportional to 2,021.14, 3,032.25 and 722.58 is: 1,084.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.14 : 3,032.25 = 722.58 : x
  2. Step 2: Convert to fraction form
    2,021.14/3,032.25 = 722.58/x
  3. Step 3: Cross multiply
    2,021.14x = 3,032.25 × 722.58
  4. Step 4: Simplify right side
    2,021.14x = 2,191,043.21
  5. Step 5: Solve for x
    x = 2,191,043.21/2,021.14
  6. Step 6: Final answer
    x = 1,084.06

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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.