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Finding the Fourth Proportional to 2,192.64, 3,282.86 and 1,706.64

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Solution

The fourth proportional to 2,192.64, 3,282.86 and 1,706.64 is: 2,555.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.64 : 3,282.86 = 1,706.64 : x
  2. Step 2: Convert to fraction form
    2,192.64/3,282.86 = 1,706.64/x
  3. Step 3: Cross multiply
    2,192.64x = 3,282.86 × 1,706.64
  4. Step 4: Simplify right side
    2,192.64x = 5,602,660.19
  5. Step 5: Solve for x
    x = 5,602,660.19/2,192.64
  6. Step 6: Final answer
    x = 2,555.21

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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.