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Finding the Fourth Proportional to 2,021.60, 3,031.32 and 722.36

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Solution

The fourth proportional to 2,021.60, 3,031.32 and 722.36 is: 1,083.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.60 : 3,031.32 = 722.36 : x
  2. Step 2: Convert to fraction form
    2,021.60/3,031.32 = 722.36/x
  3. Step 3: Cross multiply
    2,021.60x = 3,031.32 × 722.36
  4. Step 4: Simplify right side
    2,021.60x = 2,189,704.32
  5. Step 5: Solve for x
    x = 2,189,704.32/2,021.60
  6. Step 6: Final answer
    x = 1,083.15

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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.