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Finding the Fourth Proportional to 4,382.82, 6,570.32 and 1,608.86

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Solution

The fourth proportional to 4,382.82, 6,570.32 and 1,608.86 is: 2,411.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,382.82 : 6,570.32 = 1,608.86 : x
  2. Step 2: Convert to fraction form
    4,382.82/6,570.32 = 1,608.86/x
  3. Step 3: Cross multiply
    4,382.82x = 6,570.32 × 1,608.86
  4. Step 4: Simplify right side
    4,382.82x = 10,570,696.21
  5. Step 5: Solve for x
    x = 10,570,696.21/4,382.82
  6. Step 6: Final answer
    x = 2,411.85

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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.