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Finding the Fourth Proportional to 3,217.67, 4,830.93 and 1,658.96

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Solution

The fourth proportional to 3,217.67, 4,830.93 and 1,658.96 is: 2,490.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,217.67 : 4,830.93 = 1,658.96 : x
  2. Step 2: Convert to fraction form
    3,217.67/4,830.93 = 1,658.96/x
  3. Step 3: Cross multiply
    3,217.67x = 4,830.93 × 1,658.96
  4. Step 4: Simplify right side
    3,217.67x = 8,014,319.63
  5. Step 5: Solve for x
    x = 8,014,319.63/3,217.67
  6. Step 6: Final answer
    x = 2,490.72

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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.