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Finding the Fourth Proportional to 2,782.65, 3,840.69 and 1,721.35

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Solution

The fourth proportional to 2,782.65, 3,840.69 and 1,721.35 is: 2,375.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.65 : 3,840.69 = 1,721.35 : x
  2. Step 2: Convert to fraction form
    2,782.65/3,840.69 = 1,721.35/x
  3. Step 3: Cross multiply
    2,782.65x = 3,840.69 × 1,721.35
  4. Step 4: Simplify right side
    2,782.65x = 6,611,178.15
  5. Step 5: Solve for x
    x = 6,611,178.15/2,782.65
  6. Step 6: Final answer
    x = 2,375.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.