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Finding the Fourth Proportional to 2,138.34, 2,950.97 and 1,242.01

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Solution

The fourth proportional to 2,138.34, 2,950.97 and 1,242.01 is: 1,714.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.34 : 2,950.97 = 1,242.01 : x
  2. Step 2: Convert to fraction form
    2,138.34/2,950.97 = 1,242.01/x
  3. Step 3: Cross multiply
    2,138.34x = 2,950.97 × 1,242.01
  4. Step 4: Simplify right side
    2,138.34x = 3,665,134.25
  5. Step 5: Solve for x
    x = 3,665,134.25/2,138.34
  6. Step 6: Final answer
    x = 1,714.01

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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.