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Finding the Fourth Proportional to 2,474.62, 3,416.20 and 1,913.82

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Solution

The fourth proportional to 2,474.62, 3,416.20 and 1,913.82 is: 2,642.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.62 : 3,416.20 = 1,913.82 : x
  2. Step 2: Convert to fraction form
    2,474.62/3,416.20 = 1,913.82/x
  3. Step 3: Cross multiply
    2,474.62x = 3,416.20 × 1,913.82
  4. Step 4: Simplify right side
    2,474.62x = 6,537,991.88
  5. Step 5: Solve for x
    x = 6,537,991.88/2,474.62
  6. Step 6: Final answer
    x = 2,642.02

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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.