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Finding the Fourth Proportional to 2,462.58, 3,690.22 and 2,026.93

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Solution

The fourth proportional to 2,462.58, 3,690.22 and 2,026.93 is: 3,037.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.58 : 3,690.22 = 2,026.93 : x
  2. Step 2: Convert to fraction form
    2,462.58/3,690.22 = 2,026.93/x
  3. Step 3: Cross multiply
    2,462.58x = 3,690.22 × 2,026.93
  4. Step 4: Simplify right side
    2,462.58x = 7,479,817.62
  5. Step 5: Solve for x
    x = 7,479,817.62/2,462.58
  6. Step 6: Final answer
    x = 3,037.39

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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.