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Finding the Fourth Proportional to 2,185.75, 3,272.10 and 1,486.90

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Solution

The fourth proportional to 2,185.75, 3,272.10 and 1,486.90 is: 2,225.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.75 : 3,272.10 = 1,486.90 : x
  2. Step 2: Convert to fraction form
    2,185.75/3,272.10 = 1,486.90/x
  3. Step 3: Cross multiply
    2,185.75x = 3,272.10 × 1,486.90
  4. Step 4: Simplify right side
    2,185.75x = 4,865,285.49
  5. Step 5: Solve for x
    x = 4,865,285.49/2,185.75
  6. Step 6: Final answer
    x = 2,225.91

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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.