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Finding the Fourth Proportional to 2,256.15, 3,384.41 and 612.66

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Solution

The fourth proportional to 2,256.15, 3,384.41 and 612.66 is: 919.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.15 : 3,384.41 = 612.66 : x
  2. Step 2: Convert to fraction form
    2,256.15/3,384.41 = 612.66/x
  3. Step 3: Cross multiply
    2,256.15x = 3,384.41 × 612.66
  4. Step 4: Simplify right side
    2,256.15x = 2,073,489.57
  5. Step 5: Solve for x
    x = 2,073,489.57/2,256.15
  6. Step 6: Final answer
    x = 919.04

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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.