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Finding the Fourth Proportional to 2,128.22, 2,936.05 and 1,242.49

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Solution

The fourth proportional to 2,128.22, 2,936.05 and 1,242.49 is: 1,714.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.22 : 2,936.05 = 1,242.49 : x
  2. Step 2: Convert to fraction form
    2,128.22/2,936.05 = 1,242.49/x
  3. Step 3: Cross multiply
    2,128.22x = 2,936.05 × 1,242.49
  4. Step 4: Simplify right side
    2,128.22x = 3,648,007.82
  5. Step 5: Solve for x
    x = 3,648,007.82/2,128.22
  6. Step 6: Final answer
    x = 1,714.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.