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Finding the Fourth Proportional to 1,611.54, 2,411.84 and 1,247.96

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Solution

The fourth proportional to 1,611.54, 2,411.84 and 1,247.96 is: 1,867.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.54 : 2,411.84 = 1,247.96 : x
  2. Step 2: Convert to fraction form
    1,611.54/2,411.84 = 1,247.96/x
  3. Step 3: Cross multiply
    1,611.54x = 2,411.84 × 1,247.96
  4. Step 4: Simplify right side
    1,611.54x = 3,009,861.55
  5. Step 5: Solve for x
    x = 3,009,861.55/1,611.54
  6. Step 6: Final answer
    x = 1,867.69

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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.