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Finding the Fourth Proportional to 2,409.37, 3,611.62 and 947.95

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Solution

The fourth proportional to 2,409.37, 3,611.62 and 947.95 is: 1,420.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.37 : 3,611.62 = 947.95 : x
  2. Step 2: Convert to fraction form
    2,409.37/3,611.62 = 947.95/x
  3. Step 3: Cross multiply
    2,409.37x = 3,611.62 × 947.95
  4. Step 4: Simplify right side
    2,409.37x = 3,423,635.18
  5. Step 5: Solve for x
    x = 3,423,635.18/2,409.37
  6. Step 6: Final answer
    x = 1,420.97

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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.