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Finding the Fourth Proportional to 2,086.94, 3,128.59 and 1,780.76

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Solution

The fourth proportional to 2,086.94, 3,128.59 and 1,780.76 is: 2,669.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.94 : 3,128.59 = 1,780.76 : x
  2. Step 2: Convert to fraction form
    2,086.94/3,128.59 = 1,780.76/x
  3. Step 3: Cross multiply
    2,086.94x = 3,128.59 × 1,780.76
  4. Step 4: Simplify right side
    2,086.94x = 5,571,267.93
  5. Step 5: Solve for x
    x = 5,571,267.93/2,086.94
  6. Step 6: Final answer
    x = 2,669.59

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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.