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Finding the Fourth Proportional to 1,467, 2,025.54 and 1,000.44

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Solution

The fourth proportional to 1,467, 2,025.54 and 1,000.44 is: 1,381.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467 : 2,025.54 = 1,000.44 : x
  2. Step 2: Convert to fraction form
    1,467/2,025.54 = 1,000.44/x
  3. Step 3: Cross multiply
    1,467x = 2,025.54 × 1,000.44
  4. Step 4: Simplify right side
    1,467x = 2,026,431.24
  5. Step 5: Solve for x
    x = 2,026,431.24/1,467
  6. Step 6: Final answer
    x = 1,381.34

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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.