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Finding the Fourth Proportional to 2,085.48, 3,128.26 and 546.52

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Solution

The fourth proportional to 2,085.48, 3,128.26 and 546.52 is: 819.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.48 : 3,128.26 = 546.52 : x
  2. Step 2: Convert to fraction form
    2,085.48/3,128.26 = 546.52/x
  3. Step 3: Cross multiply
    2,085.48x = 3,128.26 × 546.52
  4. Step 4: Simplify right side
    2,085.48x = 1,709,656.66
  5. Step 5: Solve for x
    x = 1,709,656.66/2,085.48
  6. Step 6: Final answer
    x = 819.79

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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.