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Finding the Fourth Proportional to 2,085.08, 3,127.41 and 546.08

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Solution

The fourth proportional to 2,085.08, 3,127.41 and 546.08 is: 819.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.08 : 3,127.41 = 546.08 : x
  2. Step 2: Convert to fraction form
    2,085.08/3,127.41 = 546.08/x
  3. Step 3: Cross multiply
    2,085.08x = 3,127.41 × 546.08
  4. Step 4: Simplify right side
    2,085.08x = 1,707,800.42
  5. Step 5: Solve for x
    x = 1,707,800.42/2,085.08
  6. Step 6: Final answer
    x = 819.06

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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.