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Finding the Fourth Proportional to 2,064.40, 2,849.41 and 1,277.99

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Solution

The fourth proportional to 2,064.40, 2,849.41 and 1,277.99 is: 1,763.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.40 : 2,849.41 = 1,277.99 : x
  2. Step 2: Convert to fraction form
    2,064.40/2,849.41 = 1,277.99/x
  3. Step 3: Cross multiply
    2,064.40x = 2,849.41 × 1,277.99
  4. Step 4: Simplify right side
    2,064.40x = 3,641,517.49
  5. Step 5: Solve for x
    x = 3,641,517.49/2,064.40
  6. Step 6: Final answer
    x = 1,763.96

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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.