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Finding the Fourth Proportional to 4,170.67, 6,254.94 and 1,705.03

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Solution

The fourth proportional to 4,170.67, 6,254.94 and 1,705.03 is: 2,557.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170.67 : 6,254.94 = 1,705.03 : x
  2. Step 2: Convert to fraction form
    4,170.67/6,254.94 = 1,705.03/x
  3. Step 3: Cross multiply
    4,170.67x = 6,254.94 × 1,705.03
  4. Step 4: Simplify right side
    4,170.67x = 10,664,860.35
  5. Step 5: Solve for x
    x = 10,664,860.35/4,170.67
  6. Step 6: Final answer
    x = 2,557.11

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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.