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Finding the Fourth Proportional to 1,706.22, 2,557.11 and 1,485.90

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Solution

The fourth proportional to 1,706.22, 2,557.11 and 1,485.90 is: 2,226.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.22 : 2,557.11 = 1,485.90 : x
  2. Step 2: Convert to fraction form
    1,706.22/2,557.11 = 1,485.90/x
  3. Step 3: Cross multiply
    1,706.22x = 2,557.11 × 1,485.90
  4. Step 4: Simplify right side
    1,706.22x = 3,799,609.75
  5. Step 5: Solve for x
    x = 3,799,609.75/1,706.22
  6. Step 6: Final answer
    x = 2,226.92

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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.