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Finding the Fourth Proportional to 1,706.29, 2,557.33 and 884.09

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Solution

The fourth proportional to 1,706.29, 2,557.33 and 884.09 is: 1,325.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.29 : 2,557.33 = 884.09 : x
  2. Step 2: Convert to fraction form
    1,706.29/2,557.33 = 884.09/x
  3. Step 3: Cross multiply
    1,706.29x = 2,557.33 × 884.09
  4. Step 4: Simplify right side
    1,706.29x = 2,260,909.88
  5. Step 5: Solve for x
    x = 2,260,909.88/1,706.29
  6. Step 6: Final answer
    x = 1,325.04

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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.