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Finding the Fourth Proportional to 2,012.85, 2,778.00 and 1,128.84

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Solution

The fourth proportional to 2,012.85, 2,778.00 and 1,128.84 is: 1,557.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.85 : 2,778.00 = 1,128.84 : x
  2. Step 2: Convert to fraction form
    2,012.85/2,778.00 = 1,128.84/x
  3. Step 3: Cross multiply
    2,012.85x = 2,778.00 × 1,128.84
  4. Step 4: Simplify right side
    2,012.85x = 3,135,897.99
  5. Step 5: Solve for x
    x = 3,135,897.99/2,012.85
  6. Step 6: Final answer
    x = 1,557.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.