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Finding the Fourth Proportional to 1,761.43, 2,640.66 and 970.69

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Solution

The fourth proportional to 1,761.43, 2,640.66 and 970.69 is: 1,455.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.43 : 2,640.66 = 970.69 : x
  2. Step 2: Convert to fraction form
    1,761.43/2,640.66 = 970.69/x
  3. Step 3: Cross multiply
    1,761.43x = 2,640.66 × 970.69
  4. Step 4: Simplify right side
    1,761.43x = 2,563,262.26
  5. Step 5: Solve for x
    x = 2,563,262.26/1,761.43
  6. Step 6: Final answer
    x = 1,455.22

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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.