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Finding the Fourth Proportional to 2,810.03, 4,213.82 and 861.17

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Solution

The fourth proportional to 2,810.03, 4,213.82 and 861.17 is: 1,291.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.03 : 4,213.82 = 861.17 : x
  2. Step 2: Convert to fraction form
    2,810.03/4,213.82 = 861.17/x
  3. Step 3: Cross multiply
    2,810.03x = 4,213.82 × 861.17
  4. Step 4: Simplify right side
    2,810.03x = 3,628,796.45
  5. Step 5: Solve for x
    x = 3,628,796.45/2,810.03
  6. Step 6: Final answer
    x = 1,291.38

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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.