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Finding the Fourth Proportional to 2,017.32, 3,025.89 and 556.44

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Solution

The fourth proportional to 2,017.32, 3,025.89 and 556.44 is: 834.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.32 : 3,025.89 = 556.44 : x
  2. Step 2: Convert to fraction form
    2,017.32/3,025.89 = 556.44/x
  3. Step 3: Cross multiply
    2,017.32x = 3,025.89 × 556.44
  4. Step 4: Simplify right side
    2,017.32x = 1,683,726.23
  5. Step 5: Solve for x
    x = 1,683,726.23/2,017.32
  6. Step 6: Final answer
    x = 834.64

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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.