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Finding the Fourth Proportional to 4,431.90, 6,644.25 and 1,658.16

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Solution

The fourth proportional to 4,431.90, 6,644.25 and 1,658.16 is: 2,485.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,431.90 : 6,644.25 = 1,658.16 : x
  2. Step 2: Convert to fraction form
    4,431.90/6,644.25 = 1,658.16/x
  3. Step 3: Cross multiply
    4,431.90x = 6,644.25 × 1,658.16
  4. Step 4: Simplify right side
    4,431.90x = 11,017,229.58
  5. Step 5: Solve for x
    x = 11,017,229.58/4,431.90
  6. Step 6: Final answer
    x = 2,485.89

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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.