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Finding the Fourth Proportional to 3,031.34, 4,546.16 and 839.54

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Solution

The fourth proportional to 3,031.34, 4,546.16 and 839.54 is: 1,259.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.34 : 4,546.16 = 839.54 : x
  2. Step 2: Convert to fraction form
    3,031.34/4,546.16 = 839.54/x
  3. Step 3: Cross multiply
    3,031.34x = 4,546.16 × 839.54
  4. Step 4: Simplify right side
    3,031.34x = 3,816,683.17
  5. Step 5: Solve for x
    x = 3,816,683.17/3,031.34
  6. Step 6: Final answer
    x = 1,259.07

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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.