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Finding the Fourth Proportional to 2,474.97, 3,415.42 and 1,355.88

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Solution

The fourth proportional to 2,474.97, 3,415.42 and 1,355.88 is: 1,871.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.97 : 3,415.42 = 1,355.88 : x
  2. Step 2: Convert to fraction form
    2,474.97/3,415.42 = 1,355.88/x
  3. Step 3: Cross multiply
    2,474.97x = 3,415.42 × 1,355.88
  4. Step 4: Simplify right side
    2,474.97x = 4,630,914.17
  5. Step 5: Solve for x
    x = 4,630,914.17/2,474.97
  6. Step 6: Final answer
    x = 1,871.10

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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.