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Finding the Fourth Proportional to 1,706.46, 2,341.14 and 1,623.84

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Solution

The fourth proportional to 1,706.46, 2,341.14 and 1,623.84 is: 2,227.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.46 : 2,341.14 = 1,623.84 : x
  2. Step 2: Convert to fraction form
    1,706.46/2,341.14 = 1,623.84/x
  3. Step 3: Cross multiply
    1,706.46x = 2,341.14 × 1,623.84
  4. Step 4: Simplify right side
    1,706.46x = 3,801,636.78
  5. Step 5: Solve for x
    x = 3,801,636.78/1,706.46
  6. Step 6: Final answer
    x = 2,227.79

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.