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Finding the Fourth Proportional to 1,661.20, 2,292.30 and 962.50

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Solution

The fourth proportional to 1,661.20, 2,292.30 and 962.50 is: 1,328.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.20 : 2,292.30 = 962.50 : x
  2. Step 2: Convert to fraction form
    1,661.20/2,292.30 = 962.50/x
  3. Step 3: Cross multiply
    1,661.20x = 2,292.30 × 962.50
  4. Step 4: Simplify right side
    1,661.20x = 2,206,338.75
  5. Step 5: Solve for x
    x = 2,206,338.75/1,661.20
  6. Step 6: Final answer
    x = 1,328.16

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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.