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Finding the Fourth Proportional to 2,085.20, 3,127.80 and 546.20

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Solution

The fourth proportional to 2,085.20, 3,127.80 and 546.20 is: 819.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.20 : 3,127.80 = 546.20 : x
  2. Step 2: Convert to fraction form
    2,085.20/3,127.80 = 546.20/x
  3. Step 3: Cross multiply
    2,085.20x = 3,127.80 × 546.20
  4. Step 4: Simplify right side
    2,085.20x = 1,708,404.36
  5. Step 5: Solve for x
    x = 1,708,404.36/2,085.20
  6. Step 6: Final answer
    x = 819.30

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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.