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Finding the Fourth Proportional to 2,021.04, 3,031.58 and 723.44

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Solution

The fourth proportional to 2,021.04, 3,031.58 and 723.44 is: 1,085.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.04 : 3,031.58 = 723.44 : x
  2. Step 2: Convert to fraction form
    2,021.04/3,031.58 = 723.44/x
  3. Step 3: Cross multiply
    2,021.04x = 3,031.58 × 723.44
  4. Step 4: Simplify right side
    2,021.04x = 2,193,166.24
  5. Step 5: Solve for x
    x = 2,193,166.24/2,021.04
  6. Step 6: Final answer
    x = 1,085.17

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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.