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Finding the Fourth Proportional to 2,085.61, 3,125.71 and 851.61

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Solution

The fourth proportional to 2,085.61, 3,125.71 and 851.61 is: 1,276.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.61 : 3,125.71 = 851.61 : x
  2. Step 2: Convert to fraction form
    2,085.61/3,125.71 = 851.61/x
  3. Step 3: Cross multiply
    2,085.61x = 3,125.71 × 851.61
  4. Step 4: Simplify right side
    2,085.61x = 2,661,885.89
  5. Step 5: Solve for x
    x = 2,661,885.89/2,085.61
  6. Step 6: Final answer
    x = 1,276.31

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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.