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Finding the Fourth Proportional to 2,021.38, 3,032.10 and 722.86

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Solution

The fourth proportional to 2,021.38, 3,032.10 and 722.86 is: 1,084.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.38 : 3,032.10 = 722.86 : x
  2. Step 2: Convert to fraction form
    2,021.38/3,032.10 = 722.86/x
  3. Step 3: Cross multiply
    2,021.38x = 3,032.10 × 722.86
  4. Step 4: Simplify right side
    2,021.38x = 2,191,783.81
  5. Step 5: Solve for x
    x = 2,191,783.81/2,021.38
  6. Step 6: Final answer
    x = 1,084.30

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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.