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Finding the Fourth Proportional to 1,761.97, 2,643.50 and 666.67

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Solution

The fourth proportional to 1,761.97, 2,643.50 and 666.67 is: 1,000.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.97 : 2,643.50 = 666.67 : x
  2. Step 2: Convert to fraction form
    1,761.97/2,643.50 = 666.67/x
  3. Step 3: Cross multiply
    1,761.97x = 2,643.50 × 666.67
  4. Step 4: Simplify right side
    1,761.97x = 1,762,342.15
  5. Step 5: Solve for x
    x = 1,762,342.15/1,761.97
  6. Step 6: Final answer
    x = 1,000.21

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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.