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Finding the Fourth Proportional to 1,465.52, 2,020.97 and 1,185.53

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Solution

The fourth proportional to 1,465.52, 2,020.97 and 1,185.53 is: 1,634.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.52 : 2,020.97 = 1,185.53 : x
  2. Step 2: Convert to fraction form
    1,465.52/2,020.97 = 1,185.53/x
  3. Step 3: Cross multiply
    1,465.52x = 2,020.97 × 1,185.53
  4. Step 4: Simplify right side
    1,465.52x = 2,395,914.64
  5. Step 5: Solve for x
    x = 2,395,914.64/1,465.52
  6. Step 6: Final answer
    x = 1,634.86

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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.