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Finding the Fourth Proportional to 2,185.69, 3,281.82 and 1,880.86

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Solution

The fourth proportional to 2,185.69, 3,281.82 and 1,880.86 is: 2,824.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.69 : 3,281.82 = 1,880.86 : x
  2. Step 2: Convert to fraction form
    2,185.69/3,281.82 = 1,880.86/x
  3. Step 3: Cross multiply
    2,185.69x = 3,281.82 × 1,880.86
  4. Step 4: Simplify right side
    2,185.69x = 6,172,643.97
  5. Step 5: Solve for x
    x = 6,172,643.97/2,185.69
  6. Step 6: Final answer
    x = 2,824.12

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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.