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Finding the Fourth Proportional to 2,429.67, 3,642.51 and 967.41

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Solution

The fourth proportional to 2,429.67, 3,642.51 and 967.41 is: 1,450.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.67 : 3,642.51 = 967.41 : x
  2. Step 2: Convert to fraction form
    2,429.67/3,642.51 = 967.41/x
  3. Step 3: Cross multiply
    2,429.67x = 3,642.51 × 967.41
  4. Step 4: Simplify right side
    2,429.67x = 3,523,800.60
  5. Step 5: Solve for x
    x = 3,523,800.60/2,429.67
  6. Step 6: Final answer
    x = 1,450.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.