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Finding the Fourth Proportional to 2,064.90, 2,849.13 and 1,308.92

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Solution

The fourth proportional to 2,064.90, 2,849.13 and 1,308.92 is: 1,806.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.90 : 2,849.13 = 1,308.92 : x
  2. Step 2: Convert to fraction form
    2,064.90/2,849.13 = 1,308.92/x
  3. Step 3: Cross multiply
    2,064.90x = 2,849.13 × 1,308.92
  4. Step 4: Simplify right side
    2,064.90x = 3,729,268.99
  5. Step 5: Solve for x
    x = 3,729,268.99/2,064.90
  6. Step 6: Final answer
    x = 1,806.03

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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.