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Finding the Fourth Proportional to 2,065.02, 2,849.68 and 1,180.80

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Solution

The fourth proportional to 2,065.02, 2,849.68 and 1,180.80 is: 1,629.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.02 : 2,849.68 = 1,180.80 : x
  2. Step 2: Convert to fraction form
    2,065.02/2,849.68 = 1,180.80/x
  3. Step 3: Cross multiply
    2,065.02x = 2,849.68 × 1,180.80
  4. Step 4: Simplify right side
    2,065.02x = 3,364,902.14
  5. Step 5: Solve for x
    x = 3,364,902.14/2,065.02
  6. Step 6: Final answer
    x = 1,629.48

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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.