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Finding the Fourth Proportional to 3,301.38, 4,951.98 and 1,656.99

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Solution

The fourth proportional to 3,301.38, 4,951.98 and 1,656.99 is: 2,485.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.38 : 4,951.98 = 1,656.99 : x
  2. Step 2: Convert to fraction form
    3,301.38/4,951.98 = 1,656.99/x
  3. Step 3: Cross multiply
    3,301.38x = 4,951.98 × 1,656.99
  4. Step 4: Simplify right side
    3,301.38x = 8,205,381.34
  5. Step 5: Solve for x
    x = 8,205,381.34/3,301.38
  6. Step 6: Final answer
    x = 2,485.44

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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.