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Finding the Fourth Proportional to 1,640.34, 2,264.04 and 942.12

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Solution

The fourth proportional to 1,640.34, 2,264.04 and 942.12 is: 1,300.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.34 : 2,264.04 = 942.12 : x
  2. Step 2: Convert to fraction form
    1,640.34/2,264.04 = 942.12/x
  3. Step 3: Cross multiply
    1,640.34x = 2,264.04 × 942.12
  4. Step 4: Simplify right side
    1,640.34x = 2,132,997.36
  5. Step 5: Solve for x
    x = 2,132,997.36/1,640.34
  6. Step 6: Final answer
    x = 1,300.34

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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.