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Finding the Fourth Proportional to 1,661.50, 2,292.94 and 998.70

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Solution

The fourth proportional to 1,661.50, 2,292.94 and 998.70 is: 1,378.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.50 : 2,292.94 = 998.70 : x
  2. Step 2: Convert to fraction form
    1,661.50/2,292.94 = 998.70/x
  3. Step 3: Cross multiply
    1,661.50x = 2,292.94 × 998.70
  4. Step 4: Simplify right side
    1,661.50x = 2,289,959.18
  5. Step 5: Solve for x
    x = 2,289,959.18/1,661.50
  6. Step 6: Final answer
    x = 1,378.25

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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.