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Finding the Fourth Proportional to 1,661.68, 2,293 and 963.12

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Solution

The fourth proportional to 1,661.68, 2,293 and 963.12 is: 1,329.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.68 : 2,293 = 963.12 : x
  2. Step 2: Convert to fraction form
    1,661.68/2,293 = 963.12/x
  3. Step 3: Cross multiply
    1,661.68x = 2,293 × 963.12
  4. Step 4: Simplify right side
    1,661.68x = 2,208,434.16
  5. Step 5: Solve for x
    x = 2,208,434.16/1,661.68
  6. Step 6: Final answer
    x = 1,329.04

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Why These Related Problems?

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