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Finding the Fourth Proportional to 2,969.43, 4,455.17 and 1,121.07

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Solution

The fourth proportional to 2,969.43, 4,455.17 and 1,121.07 is: 1,681.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.43 : 4,455.17 = 1,121.07 : x
  2. Step 2: Convert to fraction form
    2,969.43/4,455.17 = 1,121.07/x
  3. Step 3: Cross multiply
    2,969.43x = 4,455.17 × 1,121.07
  4. Step 4: Simplify right side
    2,969.43x = 4,994,557.43
  5. Step 5: Solve for x
    x = 4,994,557.43/2,969.43
  6. Step 6: Final answer
    x = 1,681.99

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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.