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Finding the Fourth Proportional to 2,230.84, 3,343.52 and 1,681.28

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Solution

The fourth proportional to 2,230.84, 3,343.52 and 1,681.28 is: 2,519.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.84 : 3,343.52 = 1,681.28 : x
  2. Step 2: Convert to fraction form
    2,230.84/3,343.52 = 1,681.28/x
  3. Step 3: Cross multiply
    2,230.84x = 3,343.52 × 1,681.28
  4. Step 4: Simplify right side
    2,230.84x = 5,621,393.31
  5. Step 5: Solve for x
    x = 5,621,393.31/2,230.84
  6. Step 6: Final answer
    x = 2,519.85

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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.