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Finding the Fourth Proportional to 2,021.41, 3,031.61 and 722.89

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Solution

The fourth proportional to 2,021.41, 3,031.61 and 722.89 is: 1,084.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.41 : 3,031.61 = 722.89 : x
  2. Step 2: Convert to fraction form
    2,021.41/3,031.61 = 722.89/x
  3. Step 3: Cross multiply
    2,021.41x = 3,031.61 × 722.89
  4. Step 4: Simplify right side
    2,021.41x = 2,191,509.36
  5. Step 5: Solve for x
    x = 2,191,509.36/2,021.41
  6. Step 6: Final answer
    x = 1,084.15

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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.