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Finding the Fourth Proportional to 1,467.64, 2,025.37 and 878.23

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Solution

The fourth proportional to 1,467.64, 2,025.37 and 878.23 is: 1,211.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.64 : 2,025.37 = 878.23 : x
  2. Step 2: Convert to fraction form
    1,467.64/2,025.37 = 878.23/x
  3. Step 3: Cross multiply
    1,467.64x = 2,025.37 × 878.23
  4. Step 4: Simplify right side
    1,467.64x = 1,778,740.70
  5. Step 5: Solve for x
    x = 1,778,740.70/1,467.64
  6. Step 6: Final answer
    x = 1,211.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.