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Finding the Fourth Proportional to 1,623.73, 2,429.51 and 963.19

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Solution

The fourth proportional to 1,623.73, 2,429.51 and 963.19 is: 1,441.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.73 : 2,429.51 = 963.19 : x
  2. Step 2: Convert to fraction form
    1,623.73/2,429.51 = 963.19/x
  3. Step 3: Cross multiply
    1,623.73x = 2,429.51 × 963.19
  4. Step 4: Simplify right side
    1,623.73x = 2,340,079.31
  5. Step 5: Solve for x
    x = 2,340,079.31/1,623.73
  6. Step 6: Final answer
    x = 1,441.17

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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.