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Finding the Fourth Proportional to 2,076.99, 2,866.23 and 1,145.49

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Solution

The fourth proportional to 2,076.99, 2,866.23 and 1,145.49 is: 1,580.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.99 : 2,866.23 = 1,145.49 : x
  2. Step 2: Convert to fraction form
    2,076.99/2,866.23 = 1,145.49/x
  3. Step 3: Cross multiply
    2,076.99x = 2,866.23 × 1,145.49
  4. Step 4: Simplify right side
    2,076.99x = 3,283,237.80
  5. Step 5: Solve for x
    x = 3,283,237.80/2,076.99
  6. Step 6: Final answer
    x = 1,580.77

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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.