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Finding the Fourth Proportional to 2,409.38, 3,611.62 and 947.96

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Solution

The fourth proportional to 2,409.38, 3,611.62 and 947.96 is: 1,420.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.38 : 3,611.62 = 947.96 : x
  2. Step 2: Convert to fraction form
    2,409.38/3,611.62 = 947.96/x
  3. Step 3: Cross multiply
    2,409.38x = 3,611.62 × 947.96
  4. Step 4: Simplify right side
    2,409.38x = 3,423,671.30
  5. Step 5: Solve for x
    x = 3,423,671.30/2,409.38
  6. Step 6: Final answer
    x = 1,420.98

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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.