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Finding the Fourth Proportional to 2,382.93, 3,575.12 and 1,150.11

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Solution

The fourth proportional to 2,382.93, 3,575.12 and 1,150.11 is: 1,725.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.93 : 3,575.12 = 1,150.11 : x
  2. Step 2: Convert to fraction form
    2,382.93/3,575.12 = 1,150.11/x
  3. Step 3: Cross multiply
    2,382.93x = 3,575.12 × 1,150.11
  4. Step 4: Simplify right side
    2,382.93x = 4,111,781.26
  5. Step 5: Solve for x
    x = 4,111,781.26/2,382.93
  6. Step 6: Final answer
    x = 1,725.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.