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Finding the Fourth Proportional to 2,146.15, 3,219.59 and 665.03

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Solution

The fourth proportional to 2,146.15, 3,219.59 and 665.03 is: 997.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.15 : 3,219.59 = 665.03 : x
  2. Step 2: Convert to fraction form
    2,146.15/3,219.59 = 665.03/x
  3. Step 3: Cross multiply
    2,146.15x = 3,219.59 × 665.03
  4. Step 4: Simplify right side
    2,146.15x = 2,141,123.87
  5. Step 5: Solve for x
    x = 2,141,123.87/2,146.15
  6. Step 6: Final answer
    x = 997.66

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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.