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Finding the Fourth Proportional to 2,801.72, 3,866.46 and 2,101.88

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Solution

The fourth proportional to 2,801.72, 3,866.46 and 2,101.88 is: 2,900.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.72 : 3,866.46 = 2,101.88 : x
  2. Step 2: Convert to fraction form
    2,801.72/3,866.46 = 2,101.88/x
  3. Step 3: Cross multiply
    2,801.72x = 3,866.46 × 2,101.88
  4. Step 4: Simplify right side
    2,801.72x = 8,126,834.94
  5. Step 5: Solve for x
    x = 8,126,834.94/2,801.72
  6. Step 6: Final answer
    x = 2,900.66

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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.