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Finding the Fourth Proportional to 4,294.90, 6,438.60 and 1,664.20

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Solution

The fourth proportional to 4,294.90, 6,438.60 and 1,664.20 is: 2,494.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.90 : 6,438.60 = 1,664.20 : x
  2. Step 2: Convert to fraction form
    4,294.90/6,438.60 = 1,664.20/x
  3. Step 3: Cross multiply
    4,294.90x = 6,438.60 × 1,664.20
  4. Step 4: Simplify right side
    4,294.90x = 10,715,118.12
  5. Step 5: Solve for x
    x = 10,715,118.12/4,294.90
  6. Step 6: Final answer
    x = 2,494.85

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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.