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Finding the Fourth Proportional to 2,010.99, 2,775.85 and 1,214.76

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Solution

The fourth proportional to 2,010.99, 2,775.85 and 1,214.76 is: 1,676.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.99 : 2,775.85 = 1,214.76 : x
  2. Step 2: Convert to fraction form
    2,010.99/2,775.85 = 1,214.76/x
  3. Step 3: Cross multiply
    2,010.99x = 2,775.85 × 1,214.76
  4. Step 4: Simplify right side
    2,010.99x = 3,371,991.55
  5. Step 5: Solve for x
    x = 3,371,991.55/2,010.99
  6. Step 6: Final answer
    x = 1,676.78

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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.