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Finding the Fourth Proportional to 3,023.81, 4,173.16 and 2,031.16

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Solution

The fourth proportional to 3,023.81, 4,173.16 and 2,031.16 is: 2,803.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.81 : 4,173.16 = 2,031.16 : x
  2. Step 2: Convert to fraction form
    3,023.81/4,173.16 = 2,031.16/x
  3. Step 3: Cross multiply
    3,023.81x = 4,173.16 × 2,031.16
  4. Step 4: Simplify right side
    3,023.81x = 8,476,355.67
  5. Step 5: Solve for x
    x = 8,476,355.67/3,023.81
  6. Step 6: Final answer
    x = 2,803.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.