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Finding the Fourth Proportional to 1,640.82, 2,263.53 and 977.46

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Solution

The fourth proportional to 1,640.82, 2,263.53 and 977.46 is: 1,348.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.82 : 2,263.53 = 977.46 : x
  2. Step 2: Convert to fraction form
    1,640.82/2,263.53 = 977.46/x
  3. Step 3: Cross multiply
    1,640.82x = 2,263.53 × 977.46
  4. Step 4: Simplify right side
    1,640.82x = 2,212,510.03
  5. Step 5: Solve for x
    x = 2,212,510.03/1,640.82
  6. Step 6: Final answer
    x = 1,348.42

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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.