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Finding the Fourth Proportional to 2,062.64, 3,094.74 and 1,241.49

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Solution

The fourth proportional to 2,062.64, 3,094.74 and 1,241.49 is: 1,862.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.64 : 3,094.74 = 1,241.49 : x
  2. Step 2: Convert to fraction form
    2,062.64/3,094.74 = 1,241.49/x
  3. Step 3: Cross multiply
    2,062.64x = 3,094.74 × 1,241.49
  4. Step 4: Simplify right side
    2,062.64x = 3,842,088.76
  5. Step 5: Solve for x
    x = 3,842,088.76/2,062.64
  6. Step 6: Final answer
    x = 1,862.71

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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.