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Finding the Fourth Proportional to 3,056.64, 4,586.78 and 1,108.99

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Solution

The fourth proportional to 3,056.64, 4,586.78 and 1,108.99 is: 1,664.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056.64 : 4,586.78 = 1,108.99 : x
  2. Step 2: Convert to fraction form
    3,056.64/4,586.78 = 1,108.99/x
  3. Step 3: Cross multiply
    3,056.64x = 4,586.78 × 1,108.99
  4. Step 4: Simplify right side
    3,056.64x = 5,086,695.42
  5. Step 5: Solve for x
    x = 5,086,695.42/3,056.64
  6. Step 6: Final answer
    x = 1,664.15

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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.