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Finding the Fourth Proportional to 2,382.07, 3,573.84 and 1,066.93

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Solution

The fourth proportional to 2,382.07, 3,573.84 and 1,066.93 is: 1,600.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.07 : 3,573.84 = 1,066.93 : x
  2. Step 2: Convert to fraction form
    2,382.07/3,573.84 = 1,066.93/x
  3. Step 3: Cross multiply
    2,382.07x = 3,573.84 × 1,066.93
  4. Step 4: Simplify right side
    2,382.07x = 3,813,013.91
  5. Step 5: Solve for x
    x = 3,813,013.91/2,382.07
  6. Step 6: Final answer
    x = 1,600.71

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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.