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Finding the Fourth Proportional to 2,801.82, 3,858.12 and 2,210.52

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Solution

The fourth proportional to 2,801.82, 3,858.12 and 2,210.52 is: 3,043.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.82 : 3,858.12 = 2,210.52 : x
  2. Step 2: Convert to fraction form
    2,801.82/3,858.12 = 2,210.52/x
  3. Step 3: Cross multiply
    2,801.82x = 3,858.12 × 2,210.52
  4. Step 4: Simplify right side
    2,801.82x = 8,528,451.42
  5. Step 5: Solve for x
    x = 8,528,451.42/2,801.82
  6. Step 6: Final answer
    x = 3,043.90

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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.