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Finding the Fourth Proportional to 2,801.76, 4,195.80 and 2,107.68

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Solution

The fourth proportional to 2,801.76, 4,195.80 and 2,107.68 is: 3,156.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.76 : 4,195.80 = 2,107.68 : x
  2. Step 2: Convert to fraction form
    2,801.76/4,195.80 = 2,107.68/x
  3. Step 3: Cross multiply
    2,801.76x = 4,195.80 × 2,107.68
  4. Step 4: Simplify right side
    2,801.76x = 8,843,403.74
  5. Step 5: Solve for x
    x = 8,843,403.74/2,801.76
  6. Step 6: Final answer
    x = 3,156.37

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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.