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Finding the Fourth Proportional to 1,706.19, 2,364.01 and 1,669.27

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Solution

The fourth proportional to 1,706.19, 2,364.01 and 1,669.27 is: 2,312.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.19 : 2,364.01 = 1,669.27 : x
  2. Step 2: Convert to fraction form
    1,706.19/2,364.01 = 1,669.27/x
  3. Step 3: Cross multiply
    1,706.19x = 2,364.01 × 1,669.27
  4. Step 4: Simplify right side
    1,706.19x = 3,946,170.97
  5. Step 5: Solve for x
    x = 3,946,170.97/1,706.19
  6. Step 6: Final answer
    x = 2,312.86

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.