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Finding the Fourth Proportional to 1,623.89, 2,240.98 and 961.07

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Solution

The fourth proportional to 1,623.89, 2,240.98 and 961.07 is: 1,326.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.89 : 2,240.98 = 961.07 : x
  2. Step 2: Convert to fraction form
    1,623.89/2,240.98 = 961.07/x
  3. Step 3: Cross multiply
    1,623.89x = 2,240.98 × 961.07
  4. Step 4: Simplify right side
    1,623.89x = 2,153,725.04
  5. Step 5: Solve for x
    x = 2,153,725.04/1,623.89
  6. Step 6: Final answer
    x = 1,326.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.