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Finding the Fourth Proportional to 2,147.84, 3,206.21 and 1,857.20

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Solution

The fourth proportional to 2,147.84, 3,206.21 and 1,857.20 is: 2,772.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.84 : 3,206.21 = 1,857.20 : x
  2. Step 2: Convert to fraction form
    2,147.84/3,206.21 = 1,857.20/x
  3. Step 3: Cross multiply
    2,147.84x = 3,206.21 × 1,857.20
  4. Step 4: Simplify right side
    2,147.84x = 5,954,580.17
  5. Step 5: Solve for x
    x = 5,954,580.17/2,147.84
  6. Step 6: Final answer
    x = 2,772.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.