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Finding the Fourth Proportional to 2,016.88, 3,025.32 and 556.45

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Solution

The fourth proportional to 2,016.88, 3,025.32 and 556.45 is: 834.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.88 : 3,025.32 = 556.45 : x
  2. Step 2: Convert to fraction form
    2,016.88/3,025.32 = 556.45/x
  3. Step 3: Cross multiply
    2,016.88x = 3,025.32 × 556.45
  4. Step 4: Simplify right side
    2,016.88x = 1,683,439.31
  5. Step 5: Solve for x
    x = 1,683,439.31/2,016.88
  6. Step 6: Final answer
    x = 834.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.