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Finding the Fourth Proportional to 2,041.64, 3,062.62 and 635.88

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Solution

The fourth proportional to 2,041.64, 3,062.62 and 635.88 is: 953.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.64 : 3,062.62 = 635.88 : x
  2. Step 2: Convert to fraction form
    2,041.64/3,062.62 = 635.88/x
  3. Step 3: Cross multiply
    2,041.64x = 3,062.62 × 635.88
  4. Step 4: Simplify right side
    2,041.64x = 1,947,455.63
  5. Step 5: Solve for x
    x = 1,947,455.63/2,041.64
  6. Step 6: Final answer
    x = 953.87

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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.