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Finding the Fourth Proportional to 2,128.05, 3,186.15 and 1,085.80

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Solution

The fourth proportional to 2,128.05, 3,186.15 and 1,085.80 is: 1,625.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.05 : 3,186.15 = 1,085.80 : x
  2. Step 2: Convert to fraction form
    2,128.05/3,186.15 = 1,085.80/x
  3. Step 3: Cross multiply
    2,128.05x = 3,186.15 × 1,085.80
  4. Step 4: Simplify right side
    2,128.05x = 3,459,521.67
  5. Step 5: Solve for x
    x = 3,459,521.67/2,128.05
  6. Step 6: Final answer
    x = 1,625.68

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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.