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Finding the Fourth Proportional to 1,546.67, 2,133.36 and 957.50

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Solution

The fourth proportional to 1,546.67, 2,133.36 and 957.50 is: 1,320.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.67 : 2,133.36 = 957.50 : x
  2. Step 2: Convert to fraction form
    1,546.67/2,133.36 = 957.50/x
  3. Step 3: Cross multiply
    1,546.67x = 2,133.36 × 957.50
  4. Step 4: Simplify right side
    1,546.67x = 2,042,692.20
  5. Step 5: Solve for x
    x = 2,042,692.20/1,546.67
  6. Step 6: Final answer
    x = 1,320.70

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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.