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Finding the Fourth Proportional to 2,427.16, 3,642.82 and 967.34

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Solution

The fourth proportional to 2,427.16, 3,642.82 and 967.34 is: 1,451.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.16 : 3,642.82 = 967.34 : x
  2. Step 2: Convert to fraction form
    2,427.16/3,642.82 = 967.34/x
  3. Step 3: Cross multiply
    2,427.16x = 3,642.82 × 967.34
  4. Step 4: Simplify right side
    2,427.16x = 3,523,845.50
  5. Step 5: Solve for x
    x = 3,523,845.50/2,427.16
  6. Step 6: Final answer
    x = 1,451.84

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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.