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Finding the Fourth Proportional to 2,065.02, 2,849.60 and 1,180.68

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Solution

The fourth proportional to 2,065.02, 2,849.60 and 1,180.68 is: 1,629.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.02 : 2,849.60 = 1,180.68 : x
  2. Step 2: Convert to fraction form
    2,065.02/2,849.60 = 1,180.68/x
  3. Step 3: Cross multiply
    2,065.02x = 2,849.60 × 1,180.68
  4. Step 4: Simplify right side
    2,065.02x = 3,364,459.82
  5. Step 5: Solve for x
    x = 3,364,459.82/2,065.02
  6. Step 6: Final answer
    x = 1,629.26

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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.