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Finding the Fourth Proportional to 1,754.50, 2,632.20 and 1,266.70

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Solution

The fourth proportional to 1,754.50, 2,632.20 and 1,266.70 is: 1,900.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.50 : 2,632.20 = 1,266.70 : x
  2. Step 2: Convert to fraction form
    1,754.50/2,632.20 = 1,266.70/x
  3. Step 3: Cross multiply
    1,754.50x = 2,632.20 × 1,266.70
  4. Step 4: Simplify right side
    1,754.50x = 3,334,207.74
  5. Step 5: Solve for x
    x = 3,334,207.74/1,754.50
  6. Step 6: Final answer
    x = 1,900.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.