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Finding the Fourth Proportional to 1,401.54, 2,102.31 and 427.64

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Solution

The fourth proportional to 1,401.54, 2,102.31 and 427.64 is: 641.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.54 : 2,102.31 = 427.64 : x
  2. Step 2: Convert to fraction form
    1,401.54/2,102.31 = 427.64/x
  3. Step 3: Cross multiply
    1,401.54x = 2,102.31 × 427.64
  4. Step 4: Simplify right side
    1,401.54x = 899,034.37
  5. Step 5: Solve for x
    x = 899,034.37/1,401.54
  6. Step 6: Final answer
    x = 641.46

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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.