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Finding the Fourth Proportional to 3,031.08, 4,546.76 and 839.76

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Solution

The fourth proportional to 3,031.08, 4,546.76 and 839.76 is: 1,259.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.08 : 4,546.76 = 839.76 : x
  2. Step 2: Convert to fraction form
    3,031.08/4,546.76 = 839.76/x
  3. Step 3: Cross multiply
    3,031.08x = 4,546.76 × 839.76
  4. Step 4: Simplify right side
    3,031.08x = 3,818,187.18
  5. Step 5: Solve for x
    x = 3,818,187.18/3,031.08
  6. Step 6: Final answer
    x = 1,259.68

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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.