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Finding the Fourth Proportional to 2,020.89, 3,031.53 and 722.85

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Solution

The fourth proportional to 2,020.89, 3,031.53 and 722.85 is: 1,084.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.89 : 3,031.53 = 722.85 : x
  2. Step 2: Convert to fraction form
    2,020.89/3,031.53 = 722.85/x
  3. Step 3: Cross multiply
    2,020.89x = 3,031.53 × 722.85
  4. Step 4: Simplify right side
    2,020.89x = 2,191,341.46
  5. Step 5: Solve for x
    x = 2,191,341.46/2,020.89
  6. Step 6: Final answer
    x = 1,084.34

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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.