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Finding the Fourth Proportional to 1,617.44, 2,425.44 and 752

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Solution

The fourth proportional to 1,617.44, 2,425.44 and 752 is: 1,127.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.44 : 2,425.44 = 752 : x
  2. Step 2: Convert to fraction form
    1,617.44/2,425.44 = 752/x
  3. Step 3: Cross multiply
    1,617.44x = 2,425.44 × 752
  4. Step 4: Simplify right side
    1,617.44x = 1,823,930.88
  5. Step 5: Solve for x
    x = 1,823,930.88/1,617.44
  6. Step 6: Final answer
    x = 1,127.67

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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.