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Finding the Fourth Proportional to 2,428.50, 3,643.29 and 967.62

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Solution

The fourth proportional to 2,428.50, 3,643.29 and 967.62 is: 1,451.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.50 : 3,643.29 = 967.62 : x
  2. Step 2: Convert to fraction form
    2,428.50/3,643.29 = 967.62/x
  3. Step 3: Cross multiply
    2,428.50x = 3,643.29 × 967.62
  4. Step 4: Simplify right side
    2,428.50x = 3,525,320.27
  5. Step 5: Solve for x
    x = 3,525,320.27/2,428.50
  6. Step 6: Final answer
    x = 1,451.65

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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.